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arXiv · 1706.08308

Wick rotations, Eichler integrals, and multi-loop Feynman diagrams

Yajun Zhou
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Abstract

Using contour deformations and integrations over modular forms, we compute certain Bessel moments arising from diagrammatic expansions in two-dimensional quantum field theory. We evaluate these Feynman integrals as either explicit constants or critical values of modular $L$-series, and verify several recent conjectures of Broadhurst.

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BibTeXRIS

Yajun Zhou. 2017-06-26. Wick rotations, Eichler integrals, and multi-loop Feynman diagrams. https://doi.org/10.4310/cntp.2018.v12.n1.a5

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