Feynman Graph Integrals and Almost Modular Forms

2011/12/17 by Si Li, Li, Si · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.1112.4015

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

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