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arXiv · 1512.04862

Feynman Amplitudes and Limits of Heights

Omid Amini·Spencer Bloch·José I. Burgos Gil·Javier Fresán
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Abstract

We investigate from a mathematical perspective how Feynman amplitudes appear in the low-energy limit of string amplitudes. In this paper, we prove the convergence of the integrands. We derive this from results describing the asymptotic behavior of the height pairing between degree-zero divisors, as a family of Riemann surfaces degenerates. These are obtained by means of the nilpotent orbit theorem in Hodge theory.

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Omid Amini, Spencer Bloch, José I. Burgos Gil, Javier Fresán. 2016-06-01. Feynman Amplitudes and Limits of Heights. https://doi.org/10.1070/im8492

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