Feynman Integrals
High Energy Physics - Theory
2022-06-15 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
This course on Feynman integrals starts from the basics, requiring only knowledge from special relativity and undergraduate mathematics. Topics from quantum field theory and advanced mathematics are introduced as they are needed. The course covers modern developments in the field of Feynman integrals. Topics included in this course are: Representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, motives associated to Feynman integrals.
Keywords
Cite
@article{arxiv.2201.03593,
title = {Feynman Integrals},
author = {Stefan Weinzierl},
journal= {arXiv preprint arXiv:2201.03593},
year = {2022}
}
Comments
816 pages, long write-up of a lecture course on Feynman integrals, including 136 exercises with solutions