Feynman Graph Integrals and Almost Modular Forms
Number Theory
2011-12-21 v2 High Energy Physics - Theory
Combinatorics
Abstract
We introduce a type of graph integrals on elliptic curves from the heat kernel. We show that such graph integrals have modular properties under the modular group , and prove the polynomial nature of the anti-holomorphic dependence.
Cite
@article{arxiv.1112.4015,
title = {Feynman Graph Integrals and Almost Modular Forms},
author = {Si Li},
journal= {arXiv preprint arXiv:1112.4015},
year = {2011}
}
Comments
26 pages