Feynman Graph Integrals and Almost Modular Forms

preprint2011arXivOpen access

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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Feynman Graph Integrals and Almost Modular Forms

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