Position Space Feynman quadrics and their motives
Algebraic Geometry
2015-02-25 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this note, we introduce and study position space Feynman quadrics that are the loci of divergences of the position space Feynman integrals for Euclidean massless scalar quantum field theories. We prove that the Feynman quadrics define objects in the category of mixed Tate motives for complete graphs with a bound on the number of vertices. This result shows a strong contrast with the graph hypersurfaces approach which produces also non-mixed Tate examples.
Keywords
Cite
@article{arxiv.1502.06822,
title = {Position Space Feynman quadrics and their motives},
author = {Ozgur Ceyhan},
journal= {arXiv preprint arXiv:1502.06822},
year = {2015}
}
Comments
20 pages, 3 figures