Group invariants for Feynman diagrams
Representation Theory
2023-01-31 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.2212.12776,
title = {Group invariants for Feynman diagrams},
author = {Idrish Huet and Michel Rausch de Traubenberg and Christian Schubert},
journal= {arXiv preprint arXiv:2212.12776},
year = {2023}
}
Comments
9 pages, 8 figures, talk given by C. Schubert at 34th International Colloquium on Group Theoretical Methods in Physics, Strasbourg, 18-22 July 2022. Revised version (minor modifications)