Feynman Amplitudes and Limits of Heights

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...

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Published in:arXiv.org 2016-06
Main Authors: Amini, Omid, Bloch, Spencer, Burgos Gil, José I, Fresán, Javier
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Amplitudes
Asymptotic properties
Riemann surfaces
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Bloch, Spencer
Burgos Gil, José I
Fresán, Javier
description 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.
doi_str_mv 10.48550/arxiv.1512.04862
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subjects Amplitudes
Asymptotic properties
Riemann surfaces
title Feynman Amplitudes and Limits of Heights
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