Feynman Graph Integrals and Almost Modular Forms

Details Feynman Graph Integrals and Almost Modular Forms Feynman Graph Integrals and Almost Modular Forms

2011-12-17

arxiv.org/abs/1112.4015v2

Mathematics

Number Theory

26 pages

Scientific paper

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 $SL(2, \Z)$, and prove the polynomial nature of the
anti-holomorphic dependence.

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