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Euclidean Quantum Field Formulation of p-Adic open string amplitudes (2110.06333v2)

Published 12 Oct 2021 in hep-th, math-ph, and math.MP

Abstract: We study in a rigorous mathematical way p-adic quantum field theories whose N-point amplitudes are the expectation of products of vertex operators. We show that this type of amplitudes admit a series expansion where each term is an Igusa's local zeta function. The lowest term in this series is a regularized version of the p-adic open Koba-Nielsen string amplitude.

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