Group invariants for Feynman diagrams
It is well-known that the symmetry group of a Feynman diagram can give important information on possible strategies for its evaluation, and the mathematical objects that will be involved. Motivated by ongoing work on multi-loop multi-photon amplitudes in quantum electrodynamics, here I will discuss...
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| Format: | Article |
| Language: | English |
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SciPost
2023-11-01
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| Series: | SciPost Physics Proceedings |
| Online Access: | https://scipost.org/SciPostPhysProc.14.031 |
| _version_ | 1797462269081157632 |
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| author | Idrish Huet, Michel Rausch de Traubenberg, Christian Schubert |
| author_facet | Idrish Huet, Michel Rausch de Traubenberg, Christian Schubert |
| author_sort | Idrish Huet, Michel Rausch de Traubenberg, Christian Schubert |
| collection | DOAJ |
| description | It is well-known that the symmetry group of a Feynman diagram can give important information on possible strategies for its evaluation, and the mathematical objects that will be involved. Motivated by ongoing work on multi-loop multi-photon amplitudes in quantum electrodynamics, here I will discuss the usefulness of introducing a polynomial basis of invariants of the symmetry group of a diagram in Feynman-Schwinger parameter space. |
| first_indexed | 2024-03-09T17:34:07Z |
| format | Article |
| id | doaj.art-bdeae546cf0b47ee924df4f533e88f6d |
| institution | Directory Open Access Journal |
| issn | 2666-4003 |
| language | English |
| last_indexed | 2024-03-09T17:34:07Z |
| publishDate | 2023-11-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Proceedings |
| spelling | doaj.art-bdeae546cf0b47ee924df4f533e88f6d2023-11-24T12:01:45ZengSciPostSciPost Physics Proceedings2666-40032023-11-011403110.21468/SciPostPhysProc.14.031Group invariants for Feynman diagramsIdrish Huet, Michel Rausch de Traubenberg, Christian SchubertIt is well-known that the symmetry group of a Feynman diagram can give important information on possible strategies for its evaluation, and the mathematical objects that will be involved. Motivated by ongoing work on multi-loop multi-photon amplitudes in quantum electrodynamics, here I will discuss the usefulness of introducing a polynomial basis of invariants of the symmetry group of a diagram in Feynman-Schwinger parameter space.https://scipost.org/SciPostPhysProc.14.031 |
| spellingShingle | Idrish Huet, Michel Rausch de Traubenberg, Christian Schubert Group invariants for Feynman diagrams SciPost Physics Proceedings |
| title | Group invariants for Feynman diagrams |
| title_full | Group invariants for Feynman diagrams |
| title_fullStr | Group invariants for Feynman diagrams |
| title_full_unstemmed | Group invariants for Feynman diagrams |
| title_short | Group invariants for Feynman diagrams |
| title_sort | group invariants for feynman diagrams |
| url | https://scipost.org/SciPostPhysProc.14.031 |
| work_keys_str_mv | AT idrishhuetmichelrauschdetraubenbergchristianschubert groupinvariantsforfeynmandiagrams |