Factorization of covariant Feynman graphs for the effective action
High Energy Physics - Phenomenology
2023-09-27 v1 High Energy Physics - Theory
Abstract
We prove a neat factorization property of Feynman graphs in covariant perturbation theory. The contribution of the graph to the effective action is written as a product of a massless scalar momentum integral that only depends on the basic graph topology, and a background-field dependent piece that contains all the information of spin, gauge representations, masses etc. We give a closed expression for the momentum integral in terms of four graph polynomials whose properties we derive in some detail. Our results can also be useful for standard (non-covariant) perturbation theory.
Cite
@article{arxiv.2309.14939,
title = {Factorization of covariant Feynman graphs for the effective action},
author = {Gero von Gersdorff},
journal= {arXiv preprint arXiv:2309.14939},
year = {2023}
}