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Paper Citation Record · LEDGER

Worldline representation of multiloop amplitudes in quantum electrodynamics

As of 9 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.13321.

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

pith.paper-citation-record.v1
2607.13321 v1

Coverage vector

measured 28 of 28 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T05:38:44.319830Z

measured 28 of 28 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

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28 of 28 outbound references displayed

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Outbound references

Observation 8635b6a6-37c5-49ac-a58b-c26f8a8e5533 · outbound

This paper cites Feynman, Phys.

Worldline representation of multiloop amplitudes in quantum electrodynamics Feynman, Phys

Reference 1

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source=pdf_text observed=2026-08-02T05:38:41.657476Z digest=sha256:c99934c7839838297247adcbaff83254e49a5ad67905496f6392bdc672f10da5

Observation 1efe0232-0e53-4e5e-a86e-5060f47e80b7 · outbound

This paper cites Feynman, Phys.

Worldline representation of multiloop amplitudes in quantum electrodynamics Feynman, Phys

Reference 2

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source=pdf_text observed=2026-08-02T05:38:41.790860Z digest=sha256:feeaf8f7f03724287b1260b54d7ee8e6ad637ab1c85beae527a43ea9cb866a1b

Observation 93d43d30-46bf-4fdc-b41a-6687e30b2c07 · outbound

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

Worldline representation of multiloop amplitudes in quantum electrodynamics Perturbative Quantum Field Theory in the String-Inspired Formalism

Reference 3

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source=pdf_text observed=2026-08-02T05:38:41.880547Z digest=sha256:4735dfb8627849da03f60a4aaed634699bdba186307a92857fc3331dba97869c

Observation c8f29d06-4a05-4716-8348-ddbc97949241 · outbound

This paper cites an unresolved cited work.

Worldline representation of multiloop amplitudes in quantum electrodynamics Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-02T05:38:41.999225Z digest=sha256:a7cd6b2c41c24013a109de4e95aa1b5e8b90eb9e086fe6690efc4773b80ff72a

Observation 2c00a1bf-5b75-43e1-b348-3a2a3688fe99 · outbound

This paper cites Polyakov, Gauge Fields and Strings, Harwood Academic Publishers, 1987.

Worldline representation of multiloop amplitudes in quantum electrodynamics Polyakov, Gauge Fields and Strings, Harwood Academic Publishers, 1987

Reference 5

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source=pdf_text observed=2026-08-02T05:38:42.083586Z digest=sha256:8620455568b627ce81ec11da34a7b126ed1390b32b144e8f23375e4272f05ff8

Observation 56552704-7b30-4088-931d-566ef1f37a56 · outbound

This paper cites Bern and D.

Worldline representation of multiloop amplitudes in quantum electrodynamics Bern and D

Reference 6

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source=pdf_text observed=2026-08-02T05:38:42.164410Z digest=sha256:d06b632ebf07877d69d3bddb32fbb766b25c1d38d6cee37502bd9100fce2ad61

Observation 050b0769-2dbe-47c0-a65a-f13291104043 · outbound

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

Worldline representation of multiloop amplitudes in quantum electrodynamics Field Theory Without Feynman Diagrams: One-Loop Effective Actions

Reference 7

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source=pdf_text observed=2026-08-02T05:38:42.249267Z digest=sha256:f7d2a636d664b6159d176084daf34d8520a1f8464f34b45fb535de5f06de08b6

Observation ffcdac65-c8c3-4de0-b78a-cd9bf0d34d48 · outbound

This paper cites On the string-inspired approach to QED in external field.

Worldline representation of multiloop amplitudes in quantum electrodynamics On the string-inspired approach to QED in external field

Reference 8

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source=pdf_text observed=2026-08-02T05:38:42.329336Z digest=sha256:45b7e670958e54178dfa2ed3ed4ed7977e583e7853342d88151ef18c6c7df073

Observation 7e08fd40-3316-43d6-95b3-a56f1f62dcf3 · outbound

This paper cites Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals.

Worldline representation of multiloop amplitudes in quantum electrodynamics Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals

Reference 9

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source=pdf_text observed=2026-08-02T05:38:42.401996Z digest=sha256:8f16bfd004bd86968fabec3f804aeca220ee344b62523da29c821792f38d85e4

Observation f3ef4e8d-ffd9-4149-9214-f39a9b740efb · outbound

This paper cites N-photon amplitudes in a plane-wave background.

Worldline representation of multiloop amplitudes in quantum electrodynamics N-photon amplitudes in a plane-wave background

Reference 10

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source=pdf_text observed=2026-08-02T05:38:42.491424Z digest=sha256:97ac14b941ae2a1c5d821938199d59eb03d1859ee0938df114d5f90d6016bb21

Observation 1a2149a3-2131-43ed-ad17-d381ccbdb827 · outbound

This paper cites The worldline approach to helicity flip in plane waves.

Worldline representation of multiloop amplitudes in quantum electrodynamics The worldline approach to helicity flip in plane waves

Reference 11

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source=pdf_text observed=2026-08-02T05:38:42.604903Z digest=sha256:5de61fb67eea09a2a772dd9c12481336263381a0b9f272a66dc787d8e5b1be3b

Observation 2a7f5e6d-6c27-49c2-a142-415264a16211 · outbound

This paper cites Master formulas for photon amplitudes in a combined constant and plane-wave background field.

Worldline representation of multiloop amplitudes in quantum electrodynamics Master formulas for photon amplitudes in a combined constant and plane-wave background field

Reference 12

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source=pdf_text observed=2026-08-02T05:38:42.681183Z digest=sha256:ec4126f4528846d7e5acc43b1d92f355f476f0778360ab37a2b0d710ce13b079

Observation d59fcf68-eaf8-40e4-86b0-288b0258314d · outbound

This paper cites Bern and D.C.

Worldline representation of multiloop amplitudes in quantum electrodynamics Bern and D.C

Reference 13

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source=pdf_text observed=2026-08-02T05:38:42.748216Z digest=sha256:d021ae9fe66a07710b8ab2d18b09fc6480ceb4b2c2a2f9f791c4d56c31cce257

Observation 63431a65-9c57-4abc-86b4-c5398272c10e · outbound

This paper cites Hostler, J.

Worldline representation of multiloop amplitudes in quantum electrodynamics Hostler, J

Reference 14

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source=pdf_text observed=2026-08-02T05:38:42.831559Z digest=sha256:d4f64011bffe35e7d39dedf7e11c4d3878e51596a6b834fc130c44d75ffb0d09

Observation b82ca88d-7a96-467c-b570-0f25b388d4fd · outbound

This paper cites Second Order Fermions in Gauge Theories.

Worldline representation of multiloop amplitudes in quantum electrodynamics Second Order Fermions in Gauge Theories

Reference 15

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source=pdf_text observed=2026-08-02T05:38:42.981893Z digest=sha256:914e149f1180b3446906c6931904218e997ed038dfa250f7eecf72ac49649266

Observation 0b0e9dbd-0687-4bdc-80d8-46d8446bf726 · outbound

This paper cites Unknotting the polarized vacuum of quenched QED.

Worldline representation of multiloop amplitudes in quantum electrodynamics Unknotting the polarized vacuum of quenched QED

Reference 16

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source=pdf_text observed=2026-08-02T05:38:43.117812Z digest=sha256:cbfe844dddb7bc7ca72c3813ea376d214cc67f1b604b1d1f3d9e8311fc55ae0e

Observation 4a863e30-338d-4c35-a02a-70ae9c42b2f4 · outbound

This paper cites an unresolved cited work.

Worldline representation of multiloop amplitudes in quantum electrodynamics Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-02T05:38:43.250377Z digest=sha256:76cff94b78964ce7f65e79a54ad08248c6ac6358a8007cd2865ca3f6f6571177

Observation 992fc062-4ee0-4eeb-8347-ec511c6ea6ba · outbound

This paper cites Low-energy limit of N-photon amplitudes in a constant field.

Worldline representation of multiloop amplitudes in quantum electrodynamics Low-energy limit of N-photon amplitudes in a constant field

Reference 18

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source=pdf_text observed=2026-08-02T05:38:43.298519Z digest=sha256:6d33ad8e97a75f1a6f7182f539086ff3e20a38f83ec204c62c56caa47febc4df

Observation 85e07a6e-d788-4f81-9fcf-9a10efcaf4a0 · outbound

This paper cites Low-energy limit of N-photon amplitudes in a constant field: Part II.

Worldline representation of multiloop amplitudes in quantum electrodynamics Low-energy limit of N-photon amplitudes in a constant field: Part II

Reference 19

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source=pdf_text observed=2026-08-02T05:38:43.415971Z digest=sha256:bece339999af99d49ff05e39905384210a76e13d7dd1dc603974f909d3944073

Observation 4741a2cf-caf0-485d-a251-62aca76cc0ce · outbound

This paper cites Tail Bounds on the Runtime of Categorical Compact Genetic Algorithm.

Worldline representation of multiloop amplitudes in quantum electrodynamics Tail Bounds on the Runtime of Categorical Compact Genetic Algorithm

Reference 20

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source=pdf_text observed=2026-08-02T05:38:43.541486Z digest=sha256:8e63cc4b696500a1297834a372326434eee1449c980c9452d2de499bf760c0da

Observation 1cad20f5-7880-4ec0-80c3-099d1759846f · outbound

This paper cites Discontinuity Method for Evaluating Scattering Amplitudes within the Worldline Formalism.

Worldline representation of multiloop amplitudes in quantum electrodynamics Discontinuity Method for Evaluating Scattering Amplitudes within the Worldline Formalism

Reference 21

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source=pdf_text observed=2026-08-02T05:38:43.622543Z digest=sha256:f87ece3874504175e1aa85ebb02780c761f98cb73fd6e02337e8d769b99ac559

Observation 2028247f-9350-4ed8-8ed0-4ea37004d815 · outbound

This paper cites Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes.

Worldline representation of multiloop amplitudes in quantum electrodynamics Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes

Reference 22

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source=pdf_text observed=2026-08-02T05:38:43.757466Z digest=sha256:974a6d4a3d2e2f1ad2c70497410ade49192c1970edcb4cc050387116ce79ab78

Observation 4599745f-4cdf-4114-b35f-b060f7f78138 · outbound

This paper cites Integral representations combining ladders and crossed-ladders.

Worldline representation of multiloop amplitudes in quantum electrodynamics Integral representations combining ladders and crossed-ladders

Reference 23

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source=pdf_text observed=2026-08-02T05:38:43.855818Z digest=sha256:c1804faa790a6b12ddedb5d9d94d34189caa68a3ecd4c31fda804f44e1f2b4cb

Observation 6c89a620-5873-4a19-9742-64b466b9dc8a · outbound

This paper cites The QED four-photon amplitudes off-shell: part 2.

Worldline representation of multiloop amplitudes in quantum electrodynamics The QED four-photon amplitudes off-shell: part 2

Reference 24

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source=pdf_text observed=2026-08-02T05:38:43.967712Z digest=sha256:1ebd256b58a93040194ee42df25082166e71ceee3010cc7c7c8c6c645bd6ba0d

Observation c2aff4d0-9c8d-4562-85cf-c91a6469f8e1 · outbound

This paper cites Worldline Green Functions for Multiloop Diagrams.

Worldline representation of multiloop amplitudes in quantum electrodynamics Worldline Green Functions for Multiloop Diagrams

Reference 25

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source=pdf_text observed=2026-08-02T05:38:44.050130Z digest=sha256:810e622605dc334648b6c12913579df4ce368e2a9e07003f688b0ce44713f88a

Observation f1c0a661-5880-48ec-bf5a-7a1b9b1d1d9e · outbound

This paper cites Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes.

Worldline representation of multiloop amplitudes in quantum electrodynamics Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes

Reference 26

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source=pdf_text observed=2026-08-02T05:38:44.130251Z digest=sha256:00546a4412469aab8b92a0e73506cae2454d9c7cc246321aa233fe77f4560563

Observation 46e66b60-d398-40f5-b6ca-337d9af176fb · outbound

This paper cites Worldline master formulas for the dressed electron propagator, part 2: On-shell amplitudes.

Worldline representation of multiloop amplitudes in quantum electrodynamics Worldline master formulas for the dressed electron propagator, part 2: On-shell amplitudes

Reference 27

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source=pdf_text observed=2026-08-02T05:38:44.267156Z digest=sha256:ba4a00d7960d489b1950c94cad39038e415e334c3d57086e288f8dd3db2634cb

Observation 36ef522e-9b15-4b0a-9b91-7974569ab395 · outbound

This paper cites Fradkin and D.M.

Worldline representation of multiloop amplitudes in quantum electrodynamics Fradkin and D.M

Reference 28

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source=pdf_text observed=2026-08-02T05:38:44.319830Z digest=sha256:6d3f95d99b8b3eb4349311f8c8cb28f60ba5df1a1bb5db4515970b0f76ccddf5

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