Paper Citation Record · LEDGER

Gradient Flows and the Curvature of Theory Space

As of 18 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 9 inbound Pith citation observations for arXiv:2502.06940.

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

pith.paper-citation-record.v1
2502.06940 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T14:23:14.855347Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T13:27:21.521058Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T18:25:00.165868Z

Reference resolution

40 of 40 outbound references displayed

verified exact5
verified fuzzy11
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5aea7b96-b7de-43bc-8e70-dc753c824be1 · outbound

This paper cites Renormalization group and critical phenomena. 1. Renormalization group and the Kadanoff scaling picture.

Gradient Flows and the Curvature of Theory Space Renormalization group and critical phenomena. 1. Renormalization group and the Kadanoff scaling picture

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:23:15.388129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation eadb121a-850d-4858-99b8-36c5da00d420 · outbound

This paper cites Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory.

Gradient Flows and the Curvature of Theory Space Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:23:15.376476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8aa49870-1636-45b8-874c-9b4fb2f303b5 · outbound

This paper cites Seeing a c-theorem with holography.

Gradient Flows and the Curvature of Theory Space Seeing a c-theorem with holography

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.703198Z

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Observation 2a6165bb-57ce-40fa-b96f-5c10e925fec3 · outbound

This paper cites Towards the F-Theorem: N=2 Field Theories on the Three-Sphere.

Gradient Flows and the Curvature of Theory Space Towards the F-Theorem: N=2 Field Theories on the Three-Sphere

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.707430Z

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Observation 5140b320-aff7-47b8-95e7-f01c6e4442c9 · outbound

This paper cites F-Theorem without Supersymmetry.

Gradient Flows and the Curvature of Theory Space F-Theorem without Supersymmetry

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.712126Z

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Observation 867ffc99-0f38-4a15-8fbd-b414266038ed · outbound

This paper cites On the RG running of the entanglement entropy of a circle.

Gradient Flows and the Curvature of Theory Space On the RG running of the entanglement entropy of a circle

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.716371Z

Source-reported events for the cited work

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Observation 03b7ada8-6c8e-47c0-849b-9847fdb7cdee · outbound

This paper cites Is There a c Theorem in Four-Dimensions?.

Gradient Flows and the Curvature of Theory Space Is There a c Theorem in Four-Dimensions?

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:23:15.364238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fedf4b8a-7a38-4c48-800e-b2e1dc51304e · outbound

This paper cites Analogs for thec Theorem for Four-dimensional Renormalizable Field Theories.

Gradient Flows and the Curvature of Theory Space Analogs for thec Theorem for Four-dimensional Renormalizable Field Theories

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:23:15.352542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5417c011-1e8b-4956-a2a7-cff115c0d9d2 · outbound

This paper cites Weyl consistency conditions and a local renormalization group equation for general renormalizable field theories.

Gradient Flows and the Curvature of Theory Space Weyl consistency conditions and a local renormalization group equation for general renormalizable field theories

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:23:15.341460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0735b5c7-89ae-454c-a01f-d1db7f4571aa · outbound

This paper cites Constraints on RG Flow for Four Dimensional Quantum Field Theories.

Gradient Flows and the Curvature of Theory Space Constraints on RG Flow for Four Dimensional Quantum Field Theories

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.732304Z

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Observation 9d58023e-faaf-4bf8-b2bc-01c7d554de16 · outbound

This paper cites On Renormalization Group Flows in Four Dimensions.

Gradient Flows and the Curvature of Theory Space On Renormalization Group Flows in Four Dimensions

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.736994Z

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Observation d11e1281-4a69-436d-b917-1266c051c63f · outbound

This paper cites Averaged Null Energy and the Renormalization Group.

Gradient Flows and the Curvature of Theory Space Averaged Null Energy and the Renormalization Group

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.741327Z

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Observation e1f896e2-a5ad-4629-8045-64a51518afbd · outbound

This paper cites The g-theorem and quantum information theory.

Gradient Flows and the Curvature of Theory Space The g-theorem and quantum information theory

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.745823Z

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Observation d044bd01-f7da-42d4-826e-72c2cd2c8379 · outbound

This paper cites Renormalization Group Flows on Line Defects.

Gradient Flows and the Curvature of Theory Space Renormalization Group Flows on Line Defects

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.750188Z

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Observation 9ee91f97-1ea3-4846-a591-0291ea631ccc · outbound

This paper cites A Constraint on Defect and Boundary Renormalization Group Flows.

Gradient Flows and the Curvature of Theory Space A Constraint on Defect and Boundary Renormalization Group Flows

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.754326Z

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Observation caca83c1-6d61-432f-8f5e-b7b25aa05c36 · outbound

This paper cites Gradient flows in three dimensions.

Gradient Flows and the Curvature of Theory Space Gradient flows in three dimensions

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.758376Z

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Observation f219cfc5-12b3-42c2-911c-90fd64f538c9 · outbound

This paper cites Gradient Flow and the Renormalization Group.

Gradient Flows and the Curvature of Theory Space Gradient Flow and the Renormalization Group

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:23:15.328177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b0cc483d-5101-4c15-8916-b0933cc2a82c · outbound

This paper cites Gradient Properties of the Renormalization Group Equations in Multicomponent Systems.

Gradient Flows and the Curvature of Theory Space Gradient Properties of the Renormalization Group Equations in Multicomponent Systems

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:23:15.315662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5c327ba4-9262-4994-9b8f-4ec551c7062d · outbound

This paper cites Scheme invariants in phi^4 theory in four dimensions.

Gradient Flows and the Curvature of Theory Space Scheme invariants in phi^4 theory in four dimensions

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.770055Z

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Observation 8d4f21f9-c915-45a3-890a-cdb2cd31ea3e · outbound

This paper cites Gradient Properties of Perturbative Multiscalar RG Flows to Six Loops.

Gradient Flows and the Curvature of Theory Space Gradient Properties of Perturbative Multiscalar RG Flows to Six Loops

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.773994Z

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Observation cd26529b-e666-4bde-a878-aa1930ce06c9 · outbound

This paper cites The a-function in six dimensions.

Gradient Flows and the Curvature of Theory Space The a-function in six dimensions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.778048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a71c112-e1f8-41ad-8bcc-91970c0352ad · outbound

This paper cites Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory.

Gradient Flows and the Curvature of Theory Space Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.781953Z

Source-reported events for the cited work

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Observation 16641fa0-b872-426c-84cd-0f6cfe910710 · outbound

This paper cites Stochastic Quantization on Two-dimensional Theory Space and Morse Theory.

Gradient Flows and the Curvature of Theory Space Stochastic Quantization on Two-dimensional Theory Space and Morse Theory

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:23:15.303474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7c4c16fc-61e8-443a-853e-d8031cfabab0 · outbound

This paper cites Critical Phenomena and Renormalization-Group Theory.

Gradient Flows and the Curvature of Theory Space Critical Phenomena and Renormalization-Group Theory

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.789486Z

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Observation e3577269-26ba-4b27-832e-8fbcc1a7d40c · outbound

This paper cites Interpolating between $a$ and $F$.

Gradient Flows and the Curvature of Theory Space Interpolating between $a$ and $F$

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.793492Z

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Observation 636d5d36-0fa1-4b19-84e1-63ba7b1a1d13 · outbound

This paper cites Scheme Dependence and Multiple Couplings.

Gradient Flows and the Curvature of Theory Space Scheme Dependence and Multiple Couplings

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-08T14:23:15.044729Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation edd69df5-5982-4e62-b74b-fb31c3a7b235 · outbound

This paper cites xAct: Efficient Tensor Computer Algebra for Mathematica.

Gradient Flows and the Curvature of Theory Space xAct: Efficient Tensor Computer Algebra for Mathematica

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:23:15.291482Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7ae8891b-86b5-4985-bcd0-95f3b2f2c843 · outbound

This paper cites Minimally subtracted six loop renormalization of $O(n)$-symmetric $\phi^4$ theory and critical exponents.

Gradient Flows and the Curvature of Theory Space Minimally subtracted six loop renormalization of $O(n)$-symmetric $\phi^4$ theory and critical exponents

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.805784Z

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Observation 8d0e947d-7807-4c98-894b-88561e33bd70 · outbound

This paper cites Heavy Handed Quest for Fixed Points in Multiple Coupling Scalar Theories in the $\varepsilon$ Expansion.

Gradient Flows and the Curvature of Theory Space Heavy Handed Quest for Fixed Points in Multiple Coupling Scalar Theories in the $\varepsilon$ Expansion

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.809750Z

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Observation 6c266a6c-a031-47db-ab6e-3f37080b1916 · outbound

This paper cites Generalized $F$-Theorem and the $\epsilon$ Expansion.

Gradient Flows and the Curvature of Theory Space Generalized $F$-Theorem and the $\epsilon$ Expansion

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.813709Z

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Observation c591176e-fdeb-4c10-b01b-8a1051cc487e · outbound

This paper cites Critical properties ofϕ4 theories.

Gradient Flows and the Curvature of Theory Space Critical properties ofϕ4 theories

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:23:15.279848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6e6a1b55-2a35-45c2-a167-b6d1cb5f4352 · outbound

This paper cites Dimensional Regularization of Massless Theories in Spherical Space-Time.

Gradient Flows and the Curvature of Theory Space Dimensional Regularization of Massless Theories in Spherical Space-Time

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T14:23:15.267165Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 56f0facc-82db-46fc-a459-8982c295d6fc · outbound

This paper cites Bounds on multiscalar CFTs in the epsilon expansion.

Gradient Flows and the Curvature of Theory Space Bounds on multiscalar CFTs in the epsilon expansion

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-08T14:23:14.990242Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ecee9a34-860e-44ef-b326-0d4720065e6a · outbound

This paper cites General Gauge-Yukawa-Quartic $\beta$-Functions at 4-3-2--Loop Order.

Gradient Flows and the Curvature of Theory Space General Gauge-Yukawa-Quartic $\beta$-Functions at 4-3-2--Loop Order

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.828782Z

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Observation f6e8fede-1659-420a-b402-776346f8f04d · outbound

This paper cites Defects in scalar field theories, RG flows and Dimensional Disentangling.

Gradient Flows and the Curvature of Theory Space Defects in scalar field theories, RG flows and Dimensional Disentangling

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-08T14:23:14.963501Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3f13c210-a24f-4d0d-bfb8-6112bb8b53b1 · outbound

This paper cites RG Flows and Stability in Defect Field Theories.

Gradient Flows and the Curvature of Theory Space RG Flows and Stability in Defect Field Theories

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-08T14:23:14.947857Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b18aaafa-3aea-4d9c-869d-09c1f9c48de9 · outbound

This paper cites Defects, Rigid Holography and $C$-theorems.

Gradient Flows and the Curvature of Theory Space Defects, Rigid Holography and $C$-theorems

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-08T14:23:14.930963Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f4033cb9-08e5-4a18-9bb4-5afc5a6815a7 · outbound

This paper cites Line Defect RG Flows in the $\varepsilon$ Expansion.

Gradient Flows and the Curvature of Theory Space Line Defect RG Flows in the $\varepsilon$ Expansion

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.846629Z

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Observation 6f027b31-e099-40d5-9fcd-6216799c2b86 · outbound

This paper cites A note on defect stability in $d=4-\varepsilon$.

Gradient Flows and the Curvature of Theory Space A note on defect stability in $d=4-\varepsilon$

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.850809Z

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Observation 1311d7e3-86ac-410b-9cbd-06818bb970de · outbound

This paper cites Multiscalar Critical Models with Localised Cubic Interactions.

Gradient Flows and the Curvature of Theory Space Multiscalar Critical Models with Localised Cubic Interactions

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-08T14:23:14.855347Z

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Pith citing papers

Observation 7468cbd3-c79a-47f3-9699-4e6e78d85048 · inbound

Gradient properties of $\varphi^3$ in $d=6-\varepsilon$ cites this paper.

Gradient properties of $\varphi^3$ in $d=6-\varepsilon$ Gradient Flows and the Curvature of Theory Space

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T13:27:21.521058Z

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Observation 6aba43f8-bba0-462f-bd43-f83bdfaf6aba · inbound

Gradient RG Flow in Scalar-Fermion QFTs cites this paper.

Gradient RG Flow in Scalar-Fermion QFTs Gradient Flows and the Curvature of Theory Space

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T06:55:35.427814Z

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Observation 4e24c18b-b746-4acd-b4b1-b510827a4f0b · inbound

Local CFTs extremise $F$ cites this paper.

Local CFTs extremise $F$ Gradient Flows and the Curvature of Theory Space

Reference 94

Resolution: verified exact; arxiv_id, observed 2026-05-10T10:44:38.461768Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 99f18fdf-1117-4b62-a468-28977d683c0a · inbound

$\phi^6$ at $6$ (and some $8$) loops in $3d$ cites this paper.

$\phi^6$ at $6$ (and some $8$) loops in $3d$ Gradient Flows and the Curvature of Theory Space

Reference 58

Resolution: verified exact; arxiv_id, observed 2026-05-20T04:23:03.266111Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f662ab6b-ec5e-4552-afc5-a4097898b636 · inbound

$\phi^6$ at $6$ (and some $8$) loops in $3d$ cites this paper.

$\phi^6$ at $6$ (and some $8$) loops in $3d$ Gradient Flows and the Curvature of Theory Space

Reference 58

Resolution: verified exact; arxiv_id, observed 2026-06-30T18:25:00.167255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cf9ca6af-5120-450d-8707-5a01fcef4db6 · inbound

$\phi^6$ at $6$ (and some $8$) loops in $3d$ cites this paper.

$\phi^6$ at $6$ (and some $8$) loops in $3d$ Gradient Flows and the Curvature of Theory Space

Reference 58

Resolution: unresolved; no resolver link, observed 2026-07-12T16:29:20.261309Z

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Observation d3c2c0a3-a80f-4fd2-9679-481558355a79 · inbound

Matching $A$ with $F$ in long-range QFTs cites this paper.

Matching $A$ with $F$ in long-range QFTs Gradient Flows and the Curvature of Theory Space

Reference 54

Resolution: verified exact; arxiv_id, observed 2026-05-21T03:33:56.743815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 98426725-bf41-4c03-904b-9a3ce10099c2 · inbound

Matching $A$ with $F$ in long-range QFTs cites this paper.

Matching $A$ with $F$ in long-range QFTs Gradient Flows and the Curvature of Theory Space

Reference 59

Resolution: verified exact; arxiv_id, observed 2026-05-22T09:51:22.096847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b4157c3a-6067-4c82-b50f-6aef7bbeeeaa · inbound

Matching $A$ with $F$ in long-range QFTs cites this paper.

Matching $A$ with $F$ in long-range QFTs Gradient Flows and the Curvature of Theory Space

Reference 60

Resolution: verified exact; arxiv_id, observed 2026-06-30T17:14:56.989149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.