Group invariants for Feynman diagrams

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.

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)