Paper Citation Record · LEDGER

Vacuum polarization in QED with an electromagnetic background from the lattice

As of 22 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2608.10457.

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

pith.paper-citation-record.v1
2608.10457 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:26:36.674567Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

47 of 47 outbound references displayed

verified exact6
verified fuzzy5
unresolved36
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 16c65794-5d62-4005-a45c-00c104aeffc9 · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:26:37.504991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0adb6698-8be1-4b12-bc44-9a1a2421f7c6 · outbound

This paper cites spin factor.

Vacuum polarization in QED with an electromagnetic background from the lattice spin factor

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:26:37.490227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5222b5e0-cec9-4513-9d49-5a9546d35b59 · outbound

This paper cites Upon quantization, the traced quantity becomes precisely the path integral in the proper- time parameterization in Eq.

Vacuum polarization in QED with an electromagnetic background from the lattice Upon quantization, the traced quantity becomes precisely the path integral in the proper- time parameterization in Eq

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:26:37.474561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 243ac4d9-c17e-442b-95dd-2054264e4c0a · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:26:37.457882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1a9161a4-13ea-4647-913d-2ee22c16d7e3 · outbound

This paper cites Advances in QED with intense background fields.

Vacuum polarization in QED with an electromagnetic background from the lattice Advances in QED with intense background fields

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.467130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9f0c470-1b3d-440b-8496-9e1078fb3080 · outbound

This paper cites Strong-Field Physics in QED and QCD: From Fundamentals to Applications.

Vacuum polarization in QED with an electromagnetic background from the lattice Strong-Field Physics in QED and QCD: From Fundamentals to Applications

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.472520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 374e461c-ca46-4608-89c9-54b09ab20b23 · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:26:37.443279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 12af6565-b4a0-42b2-9146-8ec695a9a521 · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:26:37.426711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f35def24-2107-4674-a19d-d19eeb2f8a4d · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:26:37.411196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ec1875f5-129c-4ec6-ad41-7f37af5c5fd9 · outbound

This paper cites Technical Design Report for the LUXE Experiment.

Vacuum polarization in QED with an electromagnetic background from the lattice Technical Design Report for the LUXE Experiment

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.491706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecd171e6-278d-4f7f-9eef-93c5c0e32cee · outbound

This paper cites Borysov, A.

Vacuum polarization in QED with an electromagnetic background from the lattice Borysov, A

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:26:37.190150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 71212a66-e550-4dcd-8023-0eca764dc839 · outbound

This paper cites One-loop vertex correction in a plane wave.

Vacuum polarization in QED with an electromagnetic background from the lattice One-loop vertex correction in a plane wave

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:26:37.113119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 28e12f27-8766-40b9-b681-5b2c390ac4d9 · outbound

This paper cites Structure of radiative corrections in a strong constant crossed field in the bubble-chain approximation.

Vacuum polarization in QED with an electromagnetic background from the lattice Structure of radiative corrections in a strong constant crossed field in the bubble-chain approximation

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:26:37.092064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1f9621e9-590c-4b74-a25b-89603056eec4 · outbound

This paper cites Classical resummation and breakdown of strong-field QED.

Vacuum polarization in QED with an electromagnetic background from the lattice Classical resummation and breakdown of strong-field QED

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:26:37.069708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 339e73f9-25a0-477d-9310-b73abd37e2cb · outbound

This paper cites Resummation of QED radiative corrections in a strong constant crossed field.

Vacuum polarization in QED with an electromagnetic background from the lattice Resummation of QED radiative corrections in a strong constant crossed field

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.516921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3203ce42-5c54-45a0-8fef-08bcb4ba1365 · outbound

This paper cites Lattice QED in an external magnetic field: Evidence for dynamical chiral symmetry breaking.

Vacuum polarization in QED with an electromagnetic background from the lattice Lattice QED in an external magnetic field: Evidence for dynamical chiral symmetry breaking

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:26:37.030668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4a15b409-3531-4b87-8d08-80be3d33a175 · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:26:37.394473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8eae3b18-b26e-4e70-b594-765c354a8905 · outbound

This paper cites Lattice determination of the critical point of QCD at finite T and \mu.

Vacuum polarization in QED with an electromagnetic background from the lattice Lattice determination of the critical point of QCD at finite T and \mu

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.531378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 952886c1-ede2-4b9a-9448-266c1a8951ec · outbound

This paper cites Lattice QCD equation of state at finite chemical potential from an alternative expansion scheme.

Vacuum polarization in QED with an electromagnetic background from the lattice Lattice QCD equation of state at finite chemical potential from an alternative expansion scheme

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.536390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e31776d5-04bd-4e2d-bfae-64abdc1b59a5 · outbound

This paper cites Simulating nonequilibrium quantum fields with stochastic quantization techniques.

Vacuum polarization in QED with an electromagnetic background from the lattice Simulating nonequilibrium quantum fields with stochastic quantization techniques

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.541565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 045069f3-f982-4737-8e40-3e6b5ed90d87 · outbound

This paper cites Stochastic quantization at finite chemical potential.

Vacuum polarization in QED with an electromagnetic background from the lattice Stochastic quantization at finite chemical potential

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.546447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1756f50d-ccf3-438b-a494-c46396c97ddb · outbound

This paper cites High density QCD on a Lefschetz thimble?.

Vacuum polarization in QED with an electromagnetic background from the lattice High density QCD on a Lefschetz thimble?

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.552189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e77deb4-e418-4251-b29d-7241002083ca · outbound

This paper cites Finite-density lattice QCD and sign problem: current status and open problems.

Vacuum polarization in QED with an electromagnetic background from the lattice Finite-density lattice QCD and sign problem: current status and open problems

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.557274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22a00cb4-fc7f-4b32-bde8-bcf268a133fc · outbound

This paper cites Lattice field theories with a sign problem.

Vacuum polarization in QED with an electromagnetic background from the lattice Lattice field theories with a sign problem

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.562163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 767c4125-abf7-4a18-9c96-9ceac8b4385a · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.567226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2683932-2e96-4c3a-bfb5-ff2b945d7ad6 · outbound

This paper cites Functional Determinants in Quantum Field Theory.

Vacuum polarization in QED with an electromagnetic background from the lattice Functional Determinants in Quantum Field Theory

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.572117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5d5f086-c21a-412f-a736-29b4f6b9951e · outbound

This paper cites Infinite N phase transitions in continuum Wilson loop operators.

Vacuum polarization in QED with an electromagnetic background from the lattice Infinite N phase transitions in continuum Wilson loop operators

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.577142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fd765f4-3e04-4a07-a309-189a4a144dd2 · outbound

This paper cites Properties and uses of the Wilson flow in lattice QCD.

Vacuum polarization in QED with an electromagnetic background from the lattice Properties and uses of the Wilson flow in lattice QCD

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.582448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bea0f8d-66b2-484c-bb17-672268a75d0f · outbound

This paper cites Bern and D.

Vacuum polarization in QED with an electromagnetic background from the lattice Bern and D

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:26:37.367904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8b976ea4-44f0-4576-ba06-77608614023c · outbound

This paper cites Field Theory Without Feynman Diagrams: One-Loop Effective Actions.

Vacuum polarization in QED with an electromagnetic background from the lattice Field Theory Without Feynman Diagrams: One-Loop Effective Actions

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.592357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation beb1a04c-ef23-44cc-b5dc-350731c6d57d · outbound

This paper cites Perturbative analysis of the gradient flow in non-abelian gauge theories.

Vacuum polarization in QED with an electromagnetic background from the lattice Perturbative analysis of the gradient flow in non-abelian gauge theories

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.597348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cb72a45-820a-46ad-b2ab-de4a7ed3a4f1 · outbound

This paper cites High-precision scale setting in lattice QCD.

Vacuum polarization in QED with an electromagnetic background from the lattice High-precision scale setting in lattice QCD

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.602569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31b9f1a1-f32c-4feb-828e-68b56ab06847 · outbound

This paper cites Quasi parton distributions and the gradient flow.

Vacuum polarization in QED with an electromagnetic background from the lattice Quasi parton distributions and the gradient flow

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.607949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c15c914-6b13-40cf-b367-cfd6d2f21cdf · outbound

This paper cites Moments of parton distribution functions of any order from lattice QCD.

Vacuum polarization in QED with an electromagnetic background from the lattice Moments of parton distribution functions of any order from lattice QCD

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.613155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0313c99-39d9-43d3-9321-8cc8c1c89e79 · outbound

This paper cites Using Gradient Flow to Renormalise Matrix Elements for Meson Mixing and Lifetimes.

Vacuum polarization in QED with an electromagnetic background from the lattice Using Gradient Flow to Renormalise Matrix Elements for Meson Mixing and Lifetimes

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.618004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3071a2d7-fa56-4756-a69c-40b92ddd72c4 · outbound

This paper cites Gradient Flow Renormalisation for Meson Mixing and Lifetimes.

Vacuum polarization in QED with an electromagnetic background from the lattice Gradient Flow Renormalisation for Meson Mixing and Lifetimes

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.623066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa9db0a4-cb76-4313-ae6a-11895974b1d2 · outbound

This paper cites Gradient Flow: Perturbative and Non-Perturbative Renormalization.

Vacuum polarization in QED with an electromagnetic background from the lattice Gradient Flow: Perturbative and Non-Perturbative Renormalization

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:26:36.748389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation dac30681-6f7d-40eb-a495-7eccdd079530 · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:26:37.351371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2f3412c6-5b9e-402f-a939-fc4e7c456476 · outbound

This paper cites Perturbative Quantum Field Theory in the String-Inspired Formalism.

Vacuum polarization in QED with an electromagnetic background from the lattice Perturbative Quantum Field Theory in the String-Inspired Formalism

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.637185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ced1fa8-5453-4389-9698-bde01f4e97ff · outbound

This paper cites Discrete worldline instantons.

Vacuum polarization in QED with an electromagnetic background from the lattice Discrete worldline instantons

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.642083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a61e5f7-adf2-47a2-9878-df73217175bc · outbound

This paper cites T., XVIII.—On the Functions which are represented by the Expansions of the Interpolation-Theory, Proceedings of the Royal Society of Edinburgh35, 181–194 (1915).

Vacuum polarization in QED with an electromagnetic background from the lattice T., XVIII.—On the Functions which are represented by the Expansions of the Interpolation-Theory, Proceedings of the Royal Society of Edinburgh35, 181–194 (1915)

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:26:37.336365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 30b98076-e022-4d9b-bad3-3b61e56ebb04 · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:26:37.321366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ec68449d-e54f-412d-9180-b2a9808e8b3a · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:26:37.306285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 92f8ad18-c870-4828-839d-b3f086384b66 · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:26:37.291213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ab1d4827-1d72-4e73-bd71-390755f26052 · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.665397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b7c8214-3d20-4014-9aa1-300f7556ac38 · outbound

This paper cites an unresolved cited work.

Vacuum polarization in QED with an electromagnetic background from the lattice Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-15T14:26:36.670029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cbce9cc-86b6-41a8-a981-6009da5fc8ee · outbound

This paper cites Chao, Reweighting using the worldline formalism, to appear.

Vacuum polarization in QED with an electromagnetic background from the lattice Chao, Reweighting using the worldline formalism, to appear

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:26:37.256902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

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