Relating the modular Hamiltonian to two-point functions | Paper Citation Record

Observation e44c9b3d-68d7-4654-a0f6-cb3352a839ff · outbound

This paper cites Tomita,On canonical forms of von Neumann algebras (in Japanese), inFifth Functional Analysis Symposium, Tôhoku Univ., Sendai, (Sendai, Japan), pp.

Relating the modular Hamiltonian to two-point functions Tomita,On canonical forms of von Neumann algebras (in Japanese), inFifth Functional Analysis Symposium, Tôhoku Univ., Sendai, (Sendai, Japan), pp

Reference 1

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Observation 79eb1b1c-d8f9-49f5-8025-2bfa26dda593 · outbound

This paper cites Takesaki,Tomita’s Theory of Modular Hilbert Algebras and its Applications, vol.

Relating the modular Hamiltonian to two-point functions Takesaki,Tomita’s Theory of Modular Hilbert Algebras and its Applications, vol

Reference 2

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Observation 227086b0-d503-4499-b83a-2cc4239eafe1 · outbound

This paper cites Araki,Inequalities in von Neumann algebras, Rencontr.

Relating the modular Hamiltonian to two-point functions Araki,Inequalities in von Neumann algebras, Rencontr

Reference 3

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Observation 26d41626-37d9-46d8-bdcb-f080ff4f9bf4 · outbound

This paper cites Araki,Relative Entropy of States of von Neumann Algebras, Publ.

Relating the modular Hamiltonian to two-point functions Araki,Relative Entropy of States of von Neumann Algebras, Publ

Reference 4

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Observation cb2e213e-f932-4d61-b34d-0ac277cc0479 · outbound

This paper cites Uhlmann,Relative Entropy and the Wigner-Yanase-Dyson-Lieb Concavity in an Interpolation Theory, Commun.

Relating the modular Hamiltonian to two-point functions Uhlmann,Relative Entropy and the Wigner-Yanase-Dyson-Lieb Concavity in an Interpolation Theory, Commun

Reference 5

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Observation a9ac597c-c0d9-4781-8032-0427c0ea75c4 · outbound

This paper cites Bisognano and E.H.

Relating the modular Hamiltonian to two-point functions Bisognano and E.H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.974161Z

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Observation 22053402-61db-4792-afe6-7879b6f1127e · outbound

This paper cites Bisognano and E.H.

Relating the modular Hamiltonian to two-point functions Bisognano and E.H

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.960735Z

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Observation 8f71a51c-4b48-4c46-a467-970eb089685d · outbound

This paper cites an unresolved cited work.

Relating the modular Hamiltonian to two-point functions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:00:39.946987Z

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Observation b140965e-77f2-4cd8-8bbb-f763562e2ed5 · outbound

This paper cites Hislop and R.

Relating the modular Hamiltonian to two-point functions Hislop and R

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.933281Z

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Observation a510d55e-8881-4570-91d2-9a63c360b731 · outbound

This paper cites Hislop,Conformal Covariance, Modular Structure, and Duality for Local Algebras in Free Massless Quantum Field Theories, Annals Phys.185 (1988) 193.

Relating the modular Hamiltonian to two-point functions Hislop,Conformal Covariance, Modular Structure, and Duality for Local Algebras in Free Massless Quantum Field Theories, Annals Phys.185 (1988) 193

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.919708Z

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Observation 9087c94e-f85b-4c00-8407-b6c19f085d58 · outbound

This paper cites Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time.

Relating the modular Hamiltonian to two-point functions Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.203535Z

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Observation 2164614a-911e-4812-96da-ea1c3206456f · outbound

This paper cites Dreyer,Das Prinzip der geometrischen modularen Wirkung im de Sitter-Raum, Master’s thesis, Universität Hamburg, 1996.

Relating the modular Hamiltonian to two-point functions Dreyer,Das Prinzip der geometrischen modularen Wirkung im de Sitter-Raum, Master’s thesis, Universität Hamburg, 1996

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.905982Z

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Observation 2023756f-4944-4ad5-a408-a41318e6e06d · outbound

This paper cites Florig,Geometric modular action, Ph.D.

Relating the modular Hamiltonian to two-point functions Florig,Geometric modular action, Ph.D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.892045Z

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Observation 87005b25-996a-4433-a2db-84fad394f089 · outbound

This paper cites Global Properties of Vacuum States in de Sitter Space.

Relating the modular Hamiltonian to two-point functions Global Properties of Vacuum States in de Sitter Space

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:39.602515Z

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Observation 4197fe13-08e2-4424-9b5c-41b9a95820f5 · outbound

This paper cites Geometric Modular Action and Spacetime Symmetry Groups.

Relating the modular Hamiltonian to two-point functions Geometric Modular Action and Spacetime Symmetry Groups

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.221399Z

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Observation 3f2b7b9a-393a-494c-9d2b-b77e94f1fac7 · outbound

This paper cites Figari, R.

Relating the modular Hamiltonian to two-point functions Figari, R

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.878313Z

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Observation 55434f71-469e-4c56-90d2-68efe6366e30 · outbound

This paper cites Gibbons and S.W.

Relating the modular Hamiltonian to two-point functions Gibbons and S.W

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.865071Z

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Observation 3c891fce-9e4e-4c95-9643-3505a657975b · outbound

This paper cites An Algebra of Observables for de Sitter Space.

Relating the modular Hamiltonian to two-point functions An Algebra of Observables for de Sitter Space

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.235791Z

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Observation 76357130-347f-4fc1-9ac1-8891d0d322bf · outbound

This paper cites The second law of thermodynamics, TCP, and Einstein causality in anti-de Sitter space-time.

Relating the modular Hamiltonian to two-point functions The second law of thermodynamics, TCP, and Einstein causality in anti-de Sitter space-time

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:39.552425Z

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Observation 9aa86cd6-04d5-4876-9b10-64b6d3b75693 · outbound

This paper cites Transplantation of Local Nets and Geometric Modular Action on Robertson-Walker Space-Times.

Relating the modular Hamiltonian to two-point functions Transplantation of Local Nets and Geometric Modular Action on Robertson-Walker Space-Times

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:39.532447Z

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Observation 17d3fe65-cd93-47fb-8b93-d01fff724524 · outbound

This paper cites Covariant and quasi-covariant quantum dynamics in Robertson-Walker space-times.

Relating the modular Hamiltonian to two-point functions Covariant and quasi-covariant quantum dynamics in Robertson-Walker space-times

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:39.511125Z

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Observation 8c68019a-0bdf-4f1e-b70d-c23d2338817e · outbound

This paper cites Sewell,Quantum fields on manifolds: PCT and gravitationally induced thermal states, Annals Phys.141 (1982) 201.

Relating the modular Hamiltonian to two-point functions Sewell,Quantum fields on manifolds: PCT and gravitationally induced thermal states, Annals Phys.141 (1982) 201

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.851464Z

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Observation cabb03db-4f0b-4e53-8c1a-a29484556714 · outbound

This paper cites Kay,Purification of KMS States, Helv.

Relating the modular Hamiltonian to two-point functions Kay,Purification of KMS States, Helv

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.837270Z

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Observation fa49aac9-8057-4bee-8560-0f8bd5c96fa5 · outbound

This paper cites Kay,The Double Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes, Commun.

Relating the modular Hamiltonian to two-point functions Kay,The Double Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes, Commun

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.823558Z

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Observation e496a235-7c96-4f60-b2a1-833f3f1cd3a1 · outbound

This paper cites Kay and R.M.

Relating the modular Hamiltonian to two-point functions Kay and R.M

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.809155Z

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Observation f68735c4-92d4-4feb-a2d3-87ec89ab2070 · outbound

This paper cites Modular Hamiltonian for de Sitter diamonds.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonian for de Sitter diamonds

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.273548Z

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Observation fed3acc7-08c5-4b7e-9138-0dce6a9ea048 · outbound

This paper cites Modular Groups of Quantum Fields in Thermal States.

Relating the modular Hamiltonian to two-point functions Modular Groups of Quantum Fields in Thermal States

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.278985Z

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Observation e1559cff-8e56-4fb4-a47f-40fb44579cad · outbound

This paper cites Calculation of reduced density matrices from correlation functions.

Relating the modular Hamiltonian to two-point functions Calculation of reduced density matrices from correlation functions

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.283553Z

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Observation 2c91dd63-3694-43ea-a321-8598d65c025b · outbound

This paper cites Analytic results on the geometric entropy for free fields.

Relating the modular Hamiltonian to two-point functions Analytic results on the geometric entropy for free fields

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:39.449222Z

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Observation 3cbcd3a6-4300-47ef-8a39-60fb2eccbf43 · outbound

This paper cites Reduced density matrix and internal dynamics for multicomponent regions.

Relating the modular Hamiltonian to two-point functions Reduced density matrix and internal dynamics for multicomponent regions

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.293015Z

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Observation 3c074f6b-98e2-4b58-99e9-e1c68bc4b834 · outbound

This paper cites Entanglement entropy in free quantum field theory.

Relating the modular Hamiltonian to two-point functions Entanglement entropy in free quantum field theory

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.297623Z

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Observation 3d77124d-cf5f-4c2c-b2fe-921895a4f450 · outbound

This paper cites Geometric modular action for disjoint intervals and boundary conformal field theory.

Relating the modular Hamiltonian to two-point functions Geometric modular action for disjoint intervals and boundary conformal field theory

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.302372Z

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Observation 7be7af18-8792-4405-a1e6-6875fa0088fc · outbound

This paper cites Entanglement entropy for the n-sphere.

Relating the modular Hamiltonian to two-point functions Entanglement entropy for the n-sphere

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.307220Z

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Observation 2ea995c2-f3aa-420d-a25e-5457ab25bc92 · outbound

This paper cites Multilocal fermionization.

Relating the modular Hamiltonian to two-point functions Multilocal fermionization

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.311809Z

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Observation ba01aa86-8e08-4622-8020-7a163cf9fe3b · outbound

This paper cites Entanglement hamiltonians in two-dimensional conformal field theory.

Relating the modular Hamiltonian to two-point functions Entanglement hamiltonians in two-dimensional conformal field theory

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.316527Z

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Observation 255d8209-00e0-4856-a9f0-e6b5646e13e9 · outbound

This paper cites Local temperatures and local terms in modular Hamiltonians.

Relating the modular Hamiltonian to two-point functions Local temperatures and local terms in modular Hamiltonians

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.321200Z

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Observation 01637760-f03a-45dc-806b-291f7d7978b3 · outbound

This paper cites Modular Hamiltonians on the null plane and the Markov property of the vacuum state.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonians on the null plane and the Markov property of the vacuum state

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.325793Z

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Observation 606db887-8480-40b9-b327-39fe08073644 · outbound

This paper cites Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems.

Relating the modular Hamiltonian to two-point functions Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:39.321917Z

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Observation 0235a885-30d4-4fe9-a819-dc13e6bbb7fb · outbound

This paper cites Entropy and modular Hamiltonian for a free chiral scalar in two intervals.

Relating the modular Hamiltonian to two-point functions Entropy and modular Hamiltonian for a free chiral scalar in two intervals

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.335326Z

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Observation 8c920b2a-a7b4-4c24-b633-081ef5b38e78 · outbound

This paper cites Properties of Modular Hamiltonians on Entanglement Plateaux.

Relating the modular Hamiltonian to two-point functions Properties of Modular Hamiltonians on Entanglement Plateaux

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:39.287512Z

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Observation 9d9344af-c721-45b1-94c6-87e94104e229 · outbound

This paper cites On the continuum limit of the entanglement Hamiltonian.

Relating the modular Hamiltonian to two-point functions On the continuum limit of the entanglement Hamiltonian

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.345101Z

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Observation a3959379-1767-4e99-9d63-88c9187be79e · outbound

This paper cites On the modular operator of mutli-component regions in chiral CFT.

Relating the modular Hamiltonian to two-point functions On the modular operator of mutli-component regions in chiral CFT

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.349640Z

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Observation 9b1c235f-6d46-4d33-a282-bd3a97d83a05 · outbound

This paper cites Modular Hamiltonian of a chiral fermion on the torus.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonian of a chiral fermion on the torus

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.354323Z

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Observation 03790079-52fb-49c4-be90-f940a0154734 · outbound

This paper cites The entanglement spectrum of chiral fermions on the torus.

Relating the modular Hamiltonian to two-point functions The entanglement spectrum of chiral fermions on the torus

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.358791Z

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Observation d9f82fd0-324e-4345-9a43-30988f055399 · outbound

This paper cites The entanglement and relative entropy of a chiral fermion on the torus.

Relating the modular Hamiltonian to two-point functions The entanglement and relative entropy of a chiral fermion on the torus

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.363205Z

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Observation 9d548085-2f40-4453-a0b7-0255e800e6ec · outbound

This paper cites On entanglement hamiltonians of an interval in massless harmonic chains.

Relating the modular Hamiltonian to two-point functions On entanglement hamiltonians of an interval in massless harmonic chains

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.367556Z

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Observation 45241dc9-1a09-46c7-85c4-ee4b9dd32b7b · outbound

This paper cites Entanglement Hamiltonians for non-critical quantum chains.

Relating the modular Hamiltonian to two-point functions Entanglement Hamiltonians for non-critical quantum chains

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:39.183809Z

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Observation db0b0322-3660-4855-9f66-08dbbb924e64 · outbound

This paper cites Resolving modular flow: a toolkit for free fermions.

Relating the modular Hamiltonian to two-point functions Resolving modular flow: a toolkit for free fermions

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.376593Z

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Observation b3d73c69-19a4-4228-b68e-dc4d2fc7e9bb · outbound

This paper cites Modular Hamiltonians for the massless Dirac field in the presence of a boundary.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonians for the massless Dirac field in the presence of a boundary

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.381353Z

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Observation a5ff140b-5313-4e7d-b0fb-ded7ca20d883 · outbound

This paper cites Modular Hamiltonians for the massless Dirac field in the presence of a defect.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonians for the massless Dirac field in the presence of a defect

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.385939Z

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Observation 4a526c62-9c4c-4618-a94e-07a8f55affdb · outbound

This paper cites Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice.

Relating the modular Hamiltonian to two-point functions Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.390536Z

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Observation 8ede062e-6938-4d3d-80d5-522a2746189c · outbound

This paper cites On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field.

Relating the modular Hamiltonian to two-point functions On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.395133Z

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Observation 8b992199-cc3a-473c-92da-a03e45aaddf2 · outbound

This paper cites Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals.

Relating the modular Hamiltonian to two-point functions Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.399645Z

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Observation b64d90aa-346a-4747-acb5-c5bcd8d017ee · outbound

This paper cites Modular conjugations in 2D conformal field theory and holographic bit threads.

Relating the modular Hamiltonian to two-point functions Modular conjugations in 2D conformal field theory and holographic bit threads

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.404428Z

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Observation 95569b2c-3791-4ae0-bbcf-646cfe26bee8 · outbound

This paper cites Modular conjugation for multicomponent regions.

Relating the modular Hamiltonian to two-point functions Modular conjugation for multicomponent regions

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.409226Z

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Observation 475c0113-a709-49c4-8597-c70aa8633a33 · outbound

This paper cites Entanglement and negativity Hamiltonians for the massless Dirac field on the half line.

Relating the modular Hamiltonian to two-point functions Entanglement and negativity Hamiltonians for the massless Dirac field on the half line

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.413979Z

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Observation 2f6a5958-a7a5-4572-81e3-afd171ce551c · outbound

This paper cites Di Giulio and J.

Relating the modular Hamiltonian to two-point functions Di Giulio and J

Reference 57

Resolution: verified exact; raw_fallback, observed 2026-08-10T20:00:39.036364Z

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Observation 99a2d5db-8abd-4a3f-a269-63bfde97a22f · outbound

This paper cites Modular Hamiltonian of the scalar field in the semi infinite line: dimensional reduction for spherically symmetric regions.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonian of the scalar field in the semi infinite line: dimensional reduction for spherically symmetric regions

Reference 58

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:38.949074Z

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Observation 4acbb9fe-14a8-4122-a5b5-06a3e77bfcae · outbound

This paper cites Modular Hamiltonian in the semi infinite line, Part II: dimensional reduction of Dirac fermions in spherically symmetric regions.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonian in the semi infinite line, Part II: dimensional reduction of Dirac fermions in spherically symmetric regions

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:38.928023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 01c38dc4-47bd-4f47-9d14-f2dc786bf467 · outbound

This paper cites Rieffel and A.

Relating the modular Hamiltonian to two-point functions Rieffel and A

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.795289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cdf28a91-95cb-4ac8-b38a-810f9a944ca2 · outbound

This paper cites The information in a wave.

Relating the modular Hamiltonian to two-point functions The information in a wave

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.436723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21ea3273-b5f2-4280-a10d-c7741804b5c5 · outbound

This paper cites Bostelmann, D.

Relating the modular Hamiltonian to two-point functions Bostelmann, D

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.781249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8b6d459b-d422-4d47-9bd2-08693b04452a · outbound

This paper cites Modular structure of the Weyl algebra.

Relating the modular Hamiltonian to two-point functions Modular structure of the Weyl algebra

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.445415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76c95b36-ad60-4a51-af08-6ea3f0f56f69 · outbound

This paper cites On the mass dependence of the modular operator for a double cone.

Relating the modular Hamiltonian to two-point functions On the mass dependence of the modular operator for a double cone

Reference 64

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:38.878856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 249cb010-d79b-4a26-8474-4800838cae4e · outbound

This paper cites Modular Hamiltonian for fermions of small mass.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonian for fermions of small mass

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.455060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9bacb07-5fee-4ace-9d36-2aa85b426ab6 · outbound

This paper cites Entanglement of a chiral fermion on the torus.

Relating the modular Hamiltonian to two-point functions Entanglement of a chiral fermion on the torus

Reference 66

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:38.844831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8f1e8288-e1a9-4979-a855-d5513ac9cd72 · outbound

This paper cites Modular Hamiltonian and modular flow of massless fermions on a cylinder.

Relating the modular Hamiltonian to two-point functions Modular Hamiltonian and modular flow of massless fermions on a cylinder

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.464124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e50e2006-433b-4b34-95a2-4f145ff211e0 · outbound

This paper cites Entanglement in $(1+1)$-dimensional Free Scalar Field Theory: Tiptoeing between Continuum and Discrete Formulations.

Relating the modular Hamiltonian to two-point functions Entanglement in $(1+1)$-dimensional Free Scalar Field Theory: Tiptoeing between Continuum and Discrete Formulations

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.468964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d0cc29c-2161-4bd8-8981-cb3ce283dbc0 · outbound

This paper cites Petz,An Invitation to the Algebra of Canonical Commutation Relations, vol.

Relating the modular Hamiltonian to two-point functions Petz,An Invitation to the Algebra of Canonical Commutation Relations, vol

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.766910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 58683794-3a35-4d9e-b3ed-43c7fad86083 · outbound

This paper cites The massive Feynman propagator on asymptotically Minkowski spacetimes II.

Relating the modular Hamiltonian to two-point functions The massive Feynman propagator on asymptotically Minkowski spacetimes II

Reference 70

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:00:38.795855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation abe85851-e5de-4ce8-b8d7-96042c67fabc · outbound

This paper cites Complex Structures for Klein-Gordon Theory on Globally Hyperbolic Spacetimes.

Relating the modular Hamiltonian to two-point functions Complex Structures for Klein-Gordon Theory on Globally Hyperbolic Spacetimes

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.482720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aba388be-f2e0-405b-a060-3efa875c9c28 · outbound

This paper cites Adiabatic Ground States in Non-Smooth Spacetimes.

Relating the modular Hamiltonian to two-point functions Adiabatic Ground States in Non-Smooth Spacetimes

Reference 72

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T20:00:38.760987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6bd8838a-7cb7-494a-b7a1-0faa889987bd · outbound

This paper cites On microlocalisation and the construction of Feynman Propagators for normally hyperbolic operators.

Relating the modular Hamiltonian to two-point functions On microlocalisation and the construction of Feynman Propagators for normally hyperbolic operators

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.492337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c5da702-a2e8-4891-893d-7be6728b76bb · outbound

This paper cites Dereziński and C.

Relating the modular Hamiltonian to two-point functions Dereziński and C

Reference 74

Resolution: verified exact; raw_fallback, observed 2026-08-10T20:00:38.722669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation dbad1c7b-406e-4e55-aa4f-ca4cb405d2ca · outbound

This paper cites Dixmier,Position relative de deux variétés linéaires fermées dans un espace de Hilbert, Rev.

Relating the modular Hamiltonian to two-point functions Dixmier,Position relative de deux variétés linéaires fermées dans un espace de Hilbert, Rev

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.752074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e98a6923-2f4b-402a-9002-77751ca590e6 · outbound

This paper cites Halmos,Two subspaces, Trans.

Relating the modular Hamiltonian to two-point functions Halmos,Two subspaces, Trans

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.737509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 00a99bc9-9b62-492e-814d-f1e7cb02a424 · outbound

This paper cites Segal and R.W.

Relating the modular Hamiltonian to two-point functions Segal and R.W

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.722430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e74ecb7e-b1a9-463f-bc1f-fb38927f5324 · outbound

This paper cites Masuda,Anti-Locality of the One-half Power of Elliptic Differential Operators, Publ.

Relating the modular Hamiltonian to two-point functions Masuda,Anti-Locality of the One-half Power of Elliptic Differential Operators, Publ

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.707420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0572a76f-16c3-4e6c-a99b-6178d7264433 · outbound

This paper cites Murata,Anti-locality of certain functions of the Laplace operator, J.

Relating the modular Hamiltonian to two-point functions Murata,Anti-locality of certain functions of the Laplace operator, J

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.691202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a1aa8d2d-a4df-478c-af32-556e55e28775 · outbound

This paper cites Figliolini and D.

Relating the modular Hamiltonian to two-point functions Figliolini and D

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.676378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4be1a248-d978-4022-8ec5-c2a4072430b6 · outbound

This paper cites Figliolini and D.

Relating the modular Hamiltonian to two-point functions Figliolini and D

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.662015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation be7dc917-d847-486e-b268-b14b0657d768 · outbound

This paper cites Schmüdgen,Unbounded Self-adjoint Operators on Hilbert Space, vol.

Relating the modular Hamiltonian to two-point functions Schmüdgen,Unbounded Self-adjoint Operators on Hilbert Space, vol

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-10T20:00:38.532831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97631385-98d2-4e3b-a24e-e6d5b0af5461 · outbound

This paper cites Araki,On Quasifree States of the Canonical Commutation Relations (II), Publ.

Relating the modular Hamiltonian to two-point functions Araki,On Quasifree States of the Canonical Commutation Relations (II), Publ

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.647605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 77fb8a6b-4998-46b2-863c-98948a9025a4 · outbound

This paper cites Wigner,On weakly positive matrices, Can.

Relating the modular Hamiltonian to two-point functions Wigner,On weakly positive matrices, Can

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:00:39.633353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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