Аннотация:
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 behaviour of the height pairing between degree-zero divisors,
as a family of curves degenerates. These are obtained by means
of the nilpotent orbit theorem in Hodge theory.
Ключевые слова:Feynman amplitudes, low-energy limit, asymptotics of the archimedean height pairing,
Symanzik polynomials, nilpotent orbit theorem, biextension mixed Hodge structures,
regularized Green functions.
Полный текст:
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