Periods and Hodge structures in perturbative quantum field theory
High Energy Physics - Theory
2013-07-09 v2 High Energy Physics - Phenomenology
Algebraic Geometry
Abstract
There is a fruitful interplay between algebraic geometry on the one side and perturbative quantum field theory on the other side. I review the main relevant mathematical concepts of periods, Hodge structures and Picard-Fuchs equations and discuss the connection with Feynman integrals.
Keywords
Cite
@article{arxiv.1302.0670,
title = {Periods and Hodge structures in perturbative quantum field theory},
author = {Stefan Weinzierl},
journal= {arXiv preprint arXiv:1302.0670},
year = {2013}
}
Comments
11 pages, to appear in the proceedings of the workshop "Periods and Motives", Madrid, July 2012, v2: typos corrected, comments added