Determining Feynman integrals with only input from linear algebra
High Energy Physics - Phenomenology
2022-12-07 v3 High Energy Physics - Theory
Abstract
We find that all Feynman integrals (FIs), having any number of loops, can be completely determined once linear relations between FIs are provided. Therefore, FIs computation is conceptually changed to a linear algebraic problem. Examples up to 5 loops are given to verify this observation. As a byproduct, we get a powerful method to calculate perturbative corrections in quantum field theory.
Cite
@article{arxiv.2201.11637,
title = {Determining Feynman integrals with only input from linear algebra},
author = {Zhi-Feng Liu and Yan-Qing Ma},
journal= {arXiv preprint arXiv:2201.11637},
year = {2022}
}
Comments
6 pages, 1 figure, version to be published in PRL