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Paper Citation Record · LEDGER

Three-loop singularity structure for a non-linear sigma model

As of 10 August 2026, this Paper Citation Record lists 100 of 121 outbound references and 1 inbound Pith citation observation for arXiv:2507.05923.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.05923 v1

Coverage vector

measured 100 of 121 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:23:42.696268Z

measured 101 of 101 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T07:51:39.666050Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T11:39:46.652447Z

Reference resolution

100 of 121 outbound references displayed

  • verified exact14
  • verified fuzzy6
  • unresolved75
  • parse uncertain0
  • malformed identifier3
  • metadata mismatch2

External citation measurements

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Outbound references

Observation bc68f4dd-93da-4326-9e0f-76cf087a7596 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 1

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source=pdf_text observed=2026-08-06T19:23:31.286646Z digest=sha256:3e2f6df293681532467b6f9a692f37bb7430316d151ec3b20a9b8aa23c936176

Observation 9107a37c-f1a4-4c83-84c8-df42971030b9 · outbound

This paper cites Let us consider all four terms separately.

Three-loop singularity structure for a non-linear sigma model Let us consider all four terms separately

Reference 2

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source=pdf_text observed=2026-08-06T19:23:31.196576Z digest=sha256:966a2df5388bf31c9e15f07888a3c104c31ca6b21abdc8b6c41a23c2fb5688bd

Observation 13da9056-a8de-461f-b33d-fdfebf7a36ee · outbound

This paper cites =H sc 0 Hc 2(Γ2.

Three-loop singularity structure for a non-linear sigma model =H sc 0 Hc 2(Γ2

Reference 3

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source=pdf_text observed=2026-08-06T19:23:31.116913Z digest=sha256:c60eea5fcd5e3bdd6dd79c7bd5154a3079c0e1151724ffd2a8bdef758736d38c

Observation 52d5920e-7564-400f-89a5-ba4c23c1f0cc · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-06T19:23:31.420234Z digest=sha256:7b9d43831972c416d8b18aace69ee8ca14ee912ecf124b5d8d3f094ae05b087e

Observation 84da4d13-56ec-4b4f-89d1-16d8e77b99ac · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-06T19:23:31.557274Z digest=sha256:b85366f2f626e30ba00f84f7f64f30773aedeec56e904ff5f5145a5781ab1664

Observation 85cba9ba-1581-40c4-9fab-56da742437ee · outbound

This paper cites Zinn Justin,Path Integrals in Quantum Mechanics, Oxford University Press, 1–334 (2004).

Three-loop singularity structure for a non-linear sigma model Zinn Justin,Path Integrals in Quantum Mechanics, Oxford University Press, 1–334 (2004)

Reference 6

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source=pdf_text observed=2026-08-06T19:23:33.389739Z digest=sha256:39b1cc7e9e02b5f85ee53fecada537184bd6cea16ba81c772b678d2ee8724f4e

Observation 18af7eb1-e3f7-4bb8-b69d-4c32aa9b7bab · outbound

This paper cites =− 36 ln(Λ/σ4) π + 72c2L π B3 −B 2 + 72c2 2J1[B] ln(Λ/σ4)L2 4π2 + I3(Λ, σ) + I4(Λ, σ) +κ 7S[B], whereκ 7 is a coefficient depending on the parameter Λ.

Three-loop singularity structure for a non-linear sigma model =− 36 ln(Λ/σ4) π + 72c2L π B3 −B 2 + 72c2 2J1[B] ln(Λ/σ4)L2 4π2 + I3(Λ, σ) + I4(Λ, σ) +κ 7S[B], whereκ 7 is a coefficient depending on the parameter Λ

Reference 7

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source=pdf_text observed=2026-08-06T19:23:31.752136Z digest=sha256:f4f285e7153741edf0788e5f9d9ee99d1e77f4c5718f51ec192b23b125d048d7

Observation 9219cbd8-761c-4775-832a-b73b340c934d · outbound

This paper cites Calculations are performed using a shift of variables, and the formulas for the sum of H 3 334 + H4 334 take the form H3 334 + H4 334 =−6 ˆHsc 0 Γ3,r3 −Γ 3,r4 ! s.p.

Three-loop singularity structure for a non-linear sigma model Calculations are performed using a shift of variables, and the formulas for the sum of H 3 334 + H4 334 take the form H3 334 + H4 334 =−6 ˆHsc 0 Γ3,r3 −Γ 3,r4 ! s.p

Reference 8

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Observation 8beb016e-9311-4146-8581-31dd18bcf3ae · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-06T19:23:33.735709Z digest=sha256:0f4d9d7cd8ddddfd3df7992d4573ca12d9c1a195200ce185559a1ba8dacacb59

Observation b1b15226-25e5-4ccb-ae2a-032989d96876 · outbound

This paper cites Let us consider them separately as well.

Three-loop singularity structure for a non-linear sigma model Let us consider them separately as well

Reference 10

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source=pdf_text observed=2026-08-06T19:23:32.013297Z digest=sha256:92f98eb41d827a3f866ca293e633e9814c330d45a59068836d7677a64810eb5d

Observation 563c2f26-2869-41d3-ac77-960542f0a9b2 · outbound

This paper cites Let us consider the last term in more detail.

Three-loop singularity structure for a non-linear sigma model Let us consider the last term in more detail

Reference 11

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Observation 84a5da96-ffc9-475f-8325-84a00e6566ac · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 12

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Observation 64be90e9-2894-4560-8660-88af87b216e4 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-06T19:23:32.227364Z digest=sha256:1eebc69f84a2e4b0549ca085beaebac44b78159dc46dbd2c9641a594bbbfe59d

Observation c46f4197-9158-4643-a111-f707609fd6e6 · outbound

This paper cites Part 2Hsc 0 (D1D2).

Three-loop singularity structure for a non-linear sigma model Part 2Hsc 0 (D1D2)

Reference 14

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Observation fd5f4c95-5ca1-402b-a8d0-90cfc644447b · outbound

This paper cites =− 2L π c2B3 −8A 2 + 4A3 + 4A4 + 8A5 + 8A6 −8A 7 −8A 8 , H1,5 44 s.p.

Three-loop singularity structure for a non-linear sigma model =− 2L π c2B3 −8A 2 + 4A3 + 4A4 + 8A5 + 8A6 −8A 7 −8A 8 , H1,5 44 s.p

Reference 15

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Observation 40221356-a0fe-4e64-80cf-40dedf525548 · outbound

This paper cites 6.4.2 Part without loopsH c 2(Γ4) Let us move on to the second part of the decomposition from (6.33).

Three-loop singularity structure for a non-linear sigma model 6.4.2 Part without loopsH c 2(Γ4) Let us move on to the second part of the decomposition from (6.33)

Reference 17

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Observation 561943f3-7959-42f0-8e1e-9ed7fadb017f · outbound

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Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 18

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Observation cf5385e6-3bfc-49bd-88e8-fa3196a32023 · outbound

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Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-06T19:23:32.755581Z digest=sha256:81230544a91a61ff5905355b5607e9c61d57828de8f33bc78a1b6f7470b6b74b

Observation a3539b1f-61f2-43ba-b3f4-e008244d7dcd · outbound

This paper cites This approach violates locality, but preserves quasi-locality, since averaging occurs over a ”small” neighborhood of the selected point.

Three-loop singularity structure for a non-linear sigma model This approach violates locality, but preserves quasi-locality, since averaging occurs over a ”small” neighborhood of the selected point

Reference 20

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Observation 6df163b4-2c58-410d-b149-9fa960a9d112 · outbound

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Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 21

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Observation 8dc201a9-65cc-464e-9a0b-76968a010fb3 · outbound

This paper cites Itzykson, J.

Three-loop singularity structure for a non-linear sigma model Itzykson, J

Reference 22

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Observation acd54324-ad29-4e50-89e1-52e3fc02265d · outbound

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Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 23

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Observation c4996127-8301-4129-80b2-174f3b204c25 · outbound

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Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 24

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Observation 554ce49c-b2d9-47e3-8457-28c36d8f97fa · outbound

This paper cites Cartier, C.

Three-loop singularity structure for a non-linear sigma model Cartier, C

Reference 25

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Observation 53424eb9-84c5-46f6-a7cc-ec2d4d3add1b · outbound

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Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 26

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Observation e9d1193c-b9b4-45b7-9017-8332044a5108 · outbound

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Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 27

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Observation 53c3c0db-a7c8-4563-9898-cf5ad4b98285 · outbound

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Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 28

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Observation c27470ad-419d-4f30-b45e-92eed41110ae · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 29

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source=pdf_text observed=2026-08-06T19:23:35.433247Z digest=sha256:e10f472e7f6d0927d5ae8fc897f90ab46384b58d8c2b77fa8645c956cf649ab2

Observation 69485fd5-2497-483d-b477-93c54f8d42b2 · outbound

This paper cites Radiative Corrections, Divergences, Regularization, Renormalization, Renormalization Group and All That in Examples in Quantum Field Theory.

Three-loop singularity structure for a non-linear sigma model Radiative Corrections, Divergences, Regularization, Renormalization, Renormalization Group and All That in Examples in Quantum Field Theory

Reference 30

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source=pdf_text observed=2026-08-06T19:23:33.839187Z digest=sha256:b20d4364ddd750985d23c7bda08d4efa7dd3a367be5fe5876aec7a6c811b425e

Observation 73a359cf-f144-4408-97cd-c852a0423ba7 · outbound

This paper cites Atiyah,Topological quantum field theories, Publications Math´ ematiques de l’Institut des Hautes Scientifiques68, 175–186 (1988) doi:10.1007/BF02698547.

Three-loop singularity structure for a non-linear sigma model Atiyah,Topological quantum field theories, Publications Math´ ematiques de l’Institut des Hautes Scientifiques68, 175–186 (1988) doi:10.1007/BF02698547

Reference 31

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source=pdf_text observed=2026-08-06T19:23:33.944817Z digest=sha256:7501b8239ab9029bf4593e0607e761e81ed0718249b66b4b22f8b1fc443c5240

Observation 5c32cae8-e987-4e15-965a-55c07d9a6b5e · outbound

This paper cites Segal,The definition of conformal field theory, Topology, geometry and quantum field the- ory, London Math.

Three-loop singularity structure for a non-linear sigma model Segal,The definition of conformal field theory, Topology, geometry and quantum field the- ory, London Math

Reference 32

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source=pdf_text observed=2026-08-06T19:23:34.012658Z digest=sha256:9fda0df39c45e0dd925184e904fb456be2f5e2f69f9833a63d6427bea0ca6338

Observation 2ac389f2-c918-4b02-9700-2ad9e29017eb · outbound

This paper cites Reshetikhin,Lectures on Quantization of Gauge Systems, New Paths Towards Quantum Gravity, Springer Berlin Heidelberg, 125–190 (2010) doi:10.1007/978-3-642-11897-5 3.

Three-loop singularity structure for a non-linear sigma model Reshetikhin,Lectures on Quantization of Gauge Systems, New Paths Towards Quantum Gravity, Springer Berlin Heidelberg, 125–190 (2010) doi:10.1007/978-3-642-11897-5 3

Reference 33

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Observation ccfb8aa3-6595-4019-adb6-cada4f09c196 · outbound

This paper cites Supersymmetric field theories and generalized cohomology.

Three-loop singularity structure for a non-linear sigma model Supersymmetric field theories and generalized cohomology

Reference 34

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source=pdf_text observed=2026-08-06T19:23:34.210182Z digest=sha256:fa0d37ff9797562bb9e2543a2a1c8523b77621a10d0501b9eeeff28307dd8db4

Observation 78064628-6baf-4613-a7b8-0def4b943bbb · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 35

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source=pdf_text observed=2026-08-06T19:23:34.308717Z digest=sha256:bf2b3870d93047af5ea0a82b710428823d4ca62913d849831510ad64fbaef2bc

Observation 0df8f23a-81e0-4999-be48-43a865638f51 · outbound

This paper cites Kandel,Functorial quantum field theory in the Riemannian setting, Adv.

Three-loop singularity structure for a non-linear sigma model Kandel,Functorial quantum field theory in the Riemannian setting, Adv

Reference 36

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source=pdf_text observed=2026-08-06T19:23:34.399750Z digest=sha256:586d2d7f9a878c44b0e74ee75251570755760faf2873b7527c02f67c0dc2f228

Observation 8b3e1649-caa3-4f4f-b8b2-cb65bc67bcaa · outbound

This paper cites Kandel, P.

Three-loop singularity structure for a non-linear sigma model Kandel, P

Reference 37

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source=pdf_text observed=2026-08-06T19:23:34.476257Z digest=sha256:8fa5f755381f9c81d4505298f17baef61c1a3c935e701a36ae1168aa4a1045bf

Observation 43298264-7a4a-4800-8ae0-c16cd1bf0fa7 · outbound

This paper cites Effective actions, cutoff regularization, quasi-locality, and gluing of partition functions.

Three-loop singularity structure for a non-linear sigma model Effective actions, cutoff regularization, quasi-locality, and gluing of partition functions

Reference 38

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local_arxiv, observed 2026-08-06T19:23:48.911225Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:34.573822Z digest=sha256:1bb1276537f68981ec192fe560cd151c00ddce2d27242b06d0c64b8c8fdb2afc

Observation 7a98e5e1-099a-4d7c-8c45-0ba19c65862e · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:34.649601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:34.649601Z digest=sha256:733045e6c760e518101ea4357cd73b24f188644baeedab17e4685dd7dfacc9a4

Observation 54a69f7e-cbb3-4fdd-b2b8-d693296bf54c · outbound

This paper cites ’t Hooft, M.

Three-loop singularity structure for a non-linear sigma model ’t Hooft, M

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:34.724531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:34.724531Z digest=sha256:ee59a9542cdad6d081c5aafea70b6c764089accf87c3db091e973aa02b6bb92c

Observation b8f0af0b-70ef-40d9-99b5-469d455915ca · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:34.806691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:34.806691Z digest=sha256:7a08c6f0f741df999e8f237d8824f0e2d0b26d745794aaec399b92d23ed2fee0

Observation 0b74a757-0532-4649-8400-3e71a26bf9b1 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:34.871543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:34.871543Z digest=sha256:273ca49096a85d6c4b74f05b52c81b25dcd0864adcdba8b8ace6ad5fb6d0e261

Observation c97ad389-f115-4ed5-9901-11b7b208d672 · outbound

This paper cites Bakeyev, A.

Three-loop singularity structure for a non-linear sigma model Bakeyev, A

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:34.965804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:34.965804Z digest=sha256:6b42cce1fcec521eb875e76204d6a3fdc6140c02bccc8469590b3d3fc7c610c5

Observation 99a3636f-2e7a-4d17-b895-aed0ed0a7f16 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:31.956139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:31.956139Z digest=sha256:4a2a9be5d9e9d8e4b0a1df489da825b446b559cf1e9f3309f05be8ce17c0d86c

Observation 02cfa82b-4c67-4f4c-b5e6-7dda1f871320 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:35.043652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:35.043652Z digest=sha256:f80018128b5a31bb9c70c355427e21d6812c2760c43768a31fa74b5fb9cf5cce

Observation f5dceb4e-f1a4-427d-9c40-15a4da890307 · outbound

This paper cites Brizola, O.

Three-loop singularity structure for a non-linear sigma model Brizola, O

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:35.145789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:35.145789Z digest=sha256:94f676c9afcd814089c7415f2a32a28234417dbfa7ec7df584a2ff83d15c4c82

Observation 3d5f8e24-d8da-4dd9-8fb1-f939192fa65b · outbound

This paper cites Cherchiglia, D.

Three-loop singularity structure for a non-linear sigma model Cherchiglia, D

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:35.312521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:35.312521Z digest=sha256:c2111651b6450579ec7e9d86288d8fcaf561a06546c6a5caaf47c0a58dcba0f4

Observation c644ead6-ffcf-43a7-947b-516f33a71c2b · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:35.373312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:35.373312Z digest=sha256:4bf8e8f2ac89971f066db252c97e7b7fe9afc1b3d406c226bffaa704bb5aff4c

Observation ae454a05-62b5-4dc0-861e-c0666248bbe1 · outbound

This paper cites Brezin, J.

Three-loop singularity structure for a non-linear sigma model Brezin, J

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:23:53.516244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:37.694984Z digest=sha256:a958d3fa408ab3eecd62dc0ef42628f5d7377d4b06bcbb8adfd112c9b4d01a7e

Observation 0c6cbb8b-45c6-42a1-9dbe-796163f25bd7 · outbound

This paper cites Pauli, F.

Three-loop singularity structure for a non-linear sigma model Pauli, F

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:35.540855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:35.540855Z digest=sha256:463ad0f18fd280025d7622a3655ae88d12e3d36b2435dc6630891523765b53ed

Observation 57bb3d68-93cc-42d6-b27b-54e10a57824f · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:35.642564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:35.642564Z digest=sha256:cf66cb1c00f81b172f330a02f4604c704bad1e36538c0877e61c55db8177d29e

Observation 4d028036-00f6-4488-8ec6-3e0ad3981f3e · outbound

This paper cites Oleszczuk,A symmetry-preserving cut-off regularization, Z.

Three-loop singularity structure for a non-linear sigma model Oleszczuk,A symmetry-preserving cut-off regularization, Z

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:35.771716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:35.771716Z digest=sha256:72ed15bb0d72e56fc4e3f86f063625b8c876b0098355d028e72250e1daefe827

Observation a5e1e285-e371-4fca-97db-70d88e4fd643 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:35.903264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:35.903264Z digest=sha256:87c51f36e4b68976c42873504ba7c05a7012abc8ed751906bc26b4fb130b7e5f

Observation 290734a2-014c-4da3-b9b8-93d7339b4979 · outbound

This paper cites Cutoff Regularization Method in Gauge Theories.

Three-loop singularity structure for a non-linear sigma model Cutoff Regularization Method in Gauge Theories

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:36.029072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:36.029072Z digest=sha256:3986a3dedb55dbf716a03cc9e70800ae3a8fbb776b5904cc6d6849ce22ca3d0f

Observation 0014fc10-39c5-4c0a-bf4b-41238a1a7d26 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:36.124762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:36.124762Z digest=sha256:25f6b4c01692232da5321e464dd1b7025a3589e6434a9d4c845c9dd88c77528e

Observation 964ba3a2-752f-4589-80c5-7b245d5eecf5 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:36.230724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:36.230724Z digest=sha256:474f4421a1d47700b25cb155b0a1e59cc369ee5e17f4b12a980eb0b08d5b1000

Observation 3d549c24-c7a5-45f4-80cc-28c6fbd4824f · outbound

This paper cites Quantum equation of motion and two-loop cutoff renormalization for $\phi^3$ model.

Three-loop singularity structure for a non-linear sigma model Quantum equation of motion and two-loop cutoff renormalization for $\phi^3$ model

Reference 57

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:23:48.676780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:36.350941Z digest=sha256:86d7c92a580ec33a9e6bdc3d1a814885b7e52fe8441927218385230fc2dc0bfa

Observation f29259bc-2d52-41fa-a61f-e3db0b1e3dfc · outbound

This paper cites Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action.

Three-loop singularity structure for a non-linear sigma model Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:23:48.485585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:36.476270Z digest=sha256:bb94dc5b88f12422bb53be63159b70a106715e6cdb49eb51928ca1bd6b79f9f2

Observation 8396f5c6-da1a-481d-bb28-30f8e5f77eff · outbound

This paper cites Formula for two-loop divergent part of 4-D Yang-Mills effective action.

Three-loop singularity structure for a non-linear sigma model Formula for two-loop divergent part of 4-D Yang-Mills effective action

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:23:48.282230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:36.604791Z digest=sha256:7fae9707114216803734a23c8c26736b21408601d393c6c58053076cb3c663d5

Observation 86a45136-4366-4547-b139-9acf36688289 · outbound

This paper cites On Two-Loop Effective Action of 2D Sigma Model.

Three-loop singularity structure for a non-linear sigma model On Two-Loop Effective Action of 2D Sigma Model

Reference 60

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:23:48.110691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:36.738128Z digest=sha256:bc4d6639f7b0e116042d0eeb182ff09286057d869f677dee7647872bb357eae8

Observation 48e73167-7afd-4c8a-b90f-6c286fdcc4e7 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:36.814429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:36.814429Z digest=sha256:d73ab16412541e634d19c807cada29eb41fde5693a1dd35277809b70588ad01a

Observation 554458ec-6812-4bf9-b16d-3d2fff89a5bc · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 62

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T19:23:47.919651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:36.915629Z digest=sha256:d6a0162e4e1f07c45a049d62b806444c6f44c24642353c86828127c049f29078

Observation 3fd4ec0a-b7df-4a0f-adf4-575e441ed8c9 · outbound

This paper cites Three-loop renormalization of the quantum action for a five-dimensional scalar cubic model with the usage of the background field method and a cutoff regularization.

Three-loop singularity structure for a non-linear sigma model Three-loop renormalization of the quantum action for a five-dimensional scalar cubic model with the usage of the background field method and a cutoff regularization

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:23:47.632538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:37.039138Z digest=sha256:babcc2b122df46d9d442c5625cd57ddcb2b2f20167db126e55e5e120af53e43c

Observation 39a51bba-88f0-478d-ae3b-ea6f2c467354 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:37.175422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:37.175422Z digest=sha256:6f50fe5195ce674eb0b4361043da8dbe0acd19462c11dda845a4dcb866610a09

Observation 2c00e306-33aa-44fc-a73c-7566845bc456 · outbound

This paper cites Four-loop renormalization with a cutoff in a sextic model.

Three-loop singularity structure for a non-linear sigma model Four-loop renormalization with a cutoff in a sextic model

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:37.250066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:37.250066Z digest=sha256:c84268dc85f31b64aa7f72de41a0abfbc304d657e7497b449b56ea2a04f52fcf

Observation 968352b3-2eb4-46b2-8683-07e989c1d110 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:37.384642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:37.384642Z digest=sha256:0e8369b61a5bce625cf18dbbda8e78575303d7fc1d3563ef1a7fccb29e25f4d8

Observation e186239c-4137-4a80-8ed2-7e10937d9f3e · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:37.491416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:37.491416Z digest=sha256:148f414fca557f5dea273811098d87bcd8dfffffd81afd2ba1c1dc304efe2d89

Observation 252d53b4-d2f7-4da9-a120-0e45a075814a · outbound

This paper cites Brezin, J.

Three-loop singularity structure for a non-linear sigma model Brezin, J

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:23:53.726202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:37.603766Z digest=sha256:def8a54dcdb4843aa61fec3caad23bd0e7f2f5d67bbcc16c554dada955968232

Observation 97cf05c0-4d5f-4e81-b382-2d1dbb0d6b3a · outbound

This paper cites Nguyen,Quantization of the nonlinear sigma model revisited, J.

Three-loop singularity structure for a non-linear sigma model Nguyen,Quantization of the nonlinear sigma model revisited, J

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:40.223908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:40.223908Z digest=sha256:d645c37c322e490368220a27052b6934774d5320e9b56f28fefe1f51fbd9eeac

Observation 601cc31d-0320-4af3-9d5d-51459eac78b6 · outbound

This paper cites Brezin, J.

Three-loop singularity structure for a non-linear sigma model Brezin, J

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:23:53.287503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:37.827807Z digest=sha256:b8ac41cecf8a8e96bdeb2ad3afaaa38e100060c4c33ee4a30e18edb676a6b2fc

Observation 0ef176c2-caaa-413e-aee3-dd32678db484 · outbound

This paper cites Hikami, E.

Three-loop singularity structure for a non-linear sigma model Hikami, E

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:23:53.066905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:37.939697Z digest=sha256:52d1abd8c2699e9d5d7894ee134116e02495df4970f29ca1a0cf219f528460fa

Observation b9dc51ac-6c72-416b-b0cf-fe782ead00dd · outbound

This paper cites Friedan,Nonlinear models in2 +εdimensions, Ann.

Three-loop singularity structure for a non-linear sigma model Friedan,Nonlinear models in2 +εdimensions, Ann

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:23:52.819336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:38.023807Z digest=sha256:96b552f6e53f3214a78738f5e5252fb8f7e8da5907e09d64e5e7a52d863e6325

Observation ae50b954-f37f-41cf-a318-35346a62ebd3 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:23:52.612404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:38.159283Z digest=sha256:ff0c806bb22218eaa2a85b5a42da1f8a3abbbe40b5bdcff8bce7cdda177f9308

Observation 911eb2b8-ab90-4e46-b392-462fe911560c · outbound

This paper cites Bakas,Renormalization group equations and geometric flows, (2007) doi:10.48550/arXiv.hep- th/0702034.

Three-loop singularity structure for a non-linear sigma model Bakas,Renormalization group equations and geometric flows, (2007) doi:10.48550/arXiv.hep- th/0702034

Reference 74

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:23:38.300805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:38.300805Z digest=sha256:2da0969ca082e70e5c5663ebcc53819eacf89a92f395281f97fb7b0245c46f67

Observation 008f2ae6-05c5-4b77-8b1b-c420e6c8ad75 · outbound

This paper cites Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point.

Three-loop singularity structure for a non-linear sigma model Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point

Reference 75

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:23:46.483200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:38.451730Z digest=sha256:929bfd6a0b3dd4d7a24a9fea997f388089062e8812e472eecbc04ad155189c7e

Observation ad691dd8-1d65-4bb9-8676-39585cde2a75 · outbound

This paper cites Carfora,Renormalization Group and the Ricci Flow, Milan Journal of Mathematics,78(1), 319– 353 (2010) doi:10.1007/s00032-010-0110-y.

Three-loop singularity structure for a non-linear sigma model Carfora,Renormalization Group and the Ricci Flow, Milan Journal of Mathematics,78(1), 319– 353 (2010) doi:10.1007/s00032-010-0110-y

Reference 76

Resolution
verified exact
doi, observed 2026-08-06T19:23:46.284682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:38.607638Z digest=sha256:51cfa37f5ab0e37d26d5803edfc94c4e5d8b8f48646a07b1ae5044a391a840cf

Observation a786d6a7-8bc1-4e7b-86b8-ae90e1d6ef12 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 77

Resolution
verified exact
doi, observed 2026-08-06T19:23:46.077801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:38.705222Z digest=sha256:e4a767007cfd2b820ce9e287c4f237c8e307f140a2dba717d1319ebcb2e17228

Observation c3133071-4060-4bc3-a8b8-0e73560d6f06 · outbound

This paper cites Levine,Universal 1-loop divergences for integrable sigma models, J.

Three-loop singularity structure for a non-linear sigma model Levine,Universal 1-loop divergences for integrable sigma models, J

Reference 78

Resolution
verified exact
doi, observed 2026-08-06T19:23:45.903813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:38.836672Z digest=sha256:c2d79e7ad84f0d0f1741a10b1e84a34ea8ca53c2eaf64e08b73bc5a37abacf71

Observation eddc5290-551b-425d-a675-5d5457778c10 · outbound

This paper cites Explicit Cutoff Regularization in Coordinate Representation.

Three-loop singularity structure for a non-linear sigma model Explicit Cutoff Regularization in Coordinate Representation

Reference 79

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:23:47.440846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:38.947444Z digest=sha256:05d0e2bd01a9d56b0512baf077ed1d9a1180000a64df9494f4abee15792aafcf

Observation e7fe2ba6-abdf-4325-84fe-7e0199836133 · outbound

This paper cites On a criterion for a cutoff regularization in the coordinate representation.

Three-loop singularity structure for a non-linear sigma model On a criterion for a cutoff regularization in the coordinate representation

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:39.098743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:39.098743Z digest=sha256:fb4a433be53eb790dea9c57726f7a4f2d1ebba120b9a3c51836d7df22dc5e495

Observation 0abbe150-2f03-454c-a720-9b9ea24cb8f0 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:39.214601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:39.214601Z digest=sha256:a1d053710a02d1ad7a698d12977a175cc9353ebc8631d46e9c9d2c005c133bdf

Observation 8cdb129f-6847-4de3-b974-92a79fa07bd9 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 82

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:23:52.398023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:39.328302Z digest=sha256:79f6c50dce17e2df5d51a110bf79ffe462455a07fc545416ce845fbea88fe000

Observation a890cbf5-c3bf-4cbc-b125-c2b715daa53d · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 83

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:23:52.195739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:39.452537Z digest=sha256:c0599f70254b8d818ac89fe6abd41293579d60fae92c992b5afbfa6e3e900e91

Observation cc50f63a-3dc5-411f-93d7-b140c3c8053d · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:39.579892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:39.579892Z digest=sha256:31dbf851220cde461fce16f3d823fa0be79c917b48420e625ee2df5aef8ecb21

Observation ff7e0e99-5e35-4ce5-bfbf-991211f1fa4e · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 85

Resolution
verified exact
doi, observed 2026-08-06T19:23:45.660959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:39.668715Z digest=sha256:55d56faec6c944cf68bef2b4a4b700052bbf68f2d07c55b3d5a880ab2865aa46

Observation 536bea3b-e9e9-4f9f-b5da-6c7a4bcb9b62 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 86

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:23:51.964168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:39.776291Z digest=sha256:fd7edc83d8a399c57038b4cb91d19542cb474ca432872742f19ad0ef27a213f7

Observation 0353cf8f-050f-4fb6-814e-5d036f698cd1 · outbound

This paper cites D Faddeev, N.

Three-loop singularity structure for a non-linear sigma model D Faddeev, N

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:39.906576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:39.906576Z digest=sha256:a8c49acb44404f919ba35d0c6c8e3e8ffcec022c0edcee27f29ae9ea5c45b55e

Observation 93aceb53-9bae-4b3a-a664-70a7afd542ab · outbound

This paper cites Arutyunov, S.

Three-loop singularity structure for a non-linear sigma model Arutyunov, S

Reference 88

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:40.071343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:40.071343Z digest=sha256:3f8509cfee8514e6b3c1d92cb99cccf2e01bce84534ffeed9d655b82a715ba53

Observation a27aeb69-babc-49c3-8d9c-5ca1c5e08222 · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 89

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:23:50.350965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:42.696268Z digest=sha256:d6efc5f9e618f353e43f59081e3df6a0986dede74aeba4182e3bfcb954254a31

Observation 53faef5d-07ba-46bd-be88-84c056fc2211 · outbound

This paper cites Evslin, B.

Three-loop singularity structure for a non-linear sigma model Evslin, B

Reference 90

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:40.343787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:40.343787Z digest=sha256:67d304dec07d483a54894deab7c94a671a251dd41d2fc681ff901040b8cfe5a8

Observation 5a6958f8-e7d4-4003-8291-fb9b9f97427e · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 91

Resolution
verified exact
doi, observed 2026-08-06T19:23:45.370753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:40.447081Z digest=sha256:e28a2b0036ceefb27e0333c0b7c4432069cbed5b8fe11efbb6beb616649da542

Observation 328712e1-8cd9-45f5-9d79-817bd60c4f0c · outbound

This paper cites Kluson,Nonrelativistic String Theory Sigma Model and Its Canonical Formulation, Eur.

Three-loop singularity structure for a non-linear sigma model Kluson,Nonrelativistic String Theory Sigma Model and Its Canonical Formulation, Eur

Reference 92

Resolution
verified exact
doi, observed 2026-08-06T19:23:45.109863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:40.567655Z digest=sha256:8cd2134c2e386c9317dd5e3a77057b05d2c3707381cd849fc655e9ffb5fd6a0a

Observation 1d64dd75-4d96-4120-b7e7-8bea70f6c432 · outbound

This paper cites Bascone, F.

Three-loop singularity structure for a non-linear sigma model Bascone, F

Reference 93

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:40.661801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:40.661801Z digest=sha256:7eb4e5991055832d1a3591fd6873db6531d60e3da9499901ec84669a1487c37a

Observation af34ebdb-0c81-4b9e-8a78-ece9229b59ed · outbound

This paper cites Hoare,Integrable deformations of sigma models, J.

Three-loop singularity structure for a non-linear sigma model Hoare,Integrable deformations of sigma models, J

Reference 94

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:40.808031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:40.808031Z digest=sha256:255406c14fe51a987458b44c18621fb98a023a12504cdf9406f5a0225a7575f7

Observation 1b7b0c19-dccc-4a1f-b4c4-ccef25fbc2af · outbound

This paper cites Oling, Z.

Three-loop singularity structure for a non-linear sigma model Oling, Z

Reference 95

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T19:23:47.258599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:40.938339Z digest=sha256:4915b84bc895277e879d299b557c9dd56f1e104c2b4475a0d73c0b737ab51843

Observation 8a872532-0013-4356-a561-598546def22e · outbound

This paper cites Trans-series from condensates in the non-linear sigma model.

Three-loop singularity structure for a non-linear sigma model Trans-series from condensates in the non-linear sigma model

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:41.030948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:41.030948Z digest=sha256:a1ddd1b657f2e725b3f20512cbe4c57f0873575addb19fae74b66000cd731644

Observation 646e3fc8-d157-436b-b048-441178bd7b8e · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 97

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:23:51.707010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:41.204076Z digest=sha256:695cab22333a63abed742ac1f9a2af7579ce17dbc1e5fec217bb467dec6fa943

Observation 2e468b3e-72a3-4ab9-aed2-aaf8d9dc61ef · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-06T19:23:41.304357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:23:41.304357Z digest=sha256:d6b9f31dfede810aff2ca623df7afebbaa4a3777a31a7cfb8ac420dc7cdb9dfc

Observation 3ff49fd3-e1c4-4ec4-a33d-50ff485ebaa8 · outbound

This paper cites Nakahara,Geometry, topology and physics, Second Edition, CRC Press, 1–573 (2003).

Three-loop singularity structure for a non-linear sigma model Nakahara,Geometry, topology and physics, Second Edition, CRC Press, 1–573 (2003)

Reference 99

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:23:51.483742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:41.425156Z digest=sha256:dae28dea309cd164f83dc1222696b38504d4f4ff1a0918f578cff544b5f65acd

Observation 19fb37a0-b3d1-448f-a5cb-4b4b894cb0ae · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 100

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:23:51.303640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:41.555132Z digest=sha256:a02556536445adbd5557b0801b5842cc6d99a6269f0e8bb2db40fe5df68aefed

Observation 84f67887-555d-4357-bc96-11121c58134e · outbound

This paper cites an unresolved cited work.

Three-loop singularity structure for a non-linear sigma model Unresolved cited work

Reference 101

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:23:51.105603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T19:23:41.679241Z digest=sha256:9737d74c93007ccb446e80cfaca0e3f8dd47d1d09cfa76ac4cc9c244be2b2b23

Pith citing papers

Observation baeee157-356a-4aad-aeea-721e8e836d6f · inbound

On background fields and a cutoff in sigma models cites this paper.

On background fields and a cutoff in sigma models Three-loop singularity structure for a non-linear sigma model

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-07-04T11:39:46.653947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-26T07:51:39.666050Z digest=sha256:d6a655cfa6fbf07776f9c74e90133ee96b55241bbf20f0018eb3666a1ece19b0