Periods of Feynman Diagrams and GKZ D-Modules
Mathematical Physics
2016-06-24 v2 Algebraic Geometry
Combinatorics
math.MP
Abstract
We study differential equations for Feynman amplitudes and we show that the corresponding D-module is isomorphic to a GKZ D-modules. We show that the sheaf of solutions to the D-module is isomorphic to a certain relative homology and the amplitudes are periods of a relative motive. Using these ideas, we develop a method of regularization which specializes to dimensional regularization and analytic regularization.
Keywords
Cite
@article{arxiv.1605.04970,
title = {Periods of Feynman Diagrams and GKZ D-Modules},
author = {Emad Nasrollahpoursamami},
journal= {arXiv preprint arXiv:1605.04970},
year = {2016}
}