Euclidean quantum field formulation of \(p\)-adic open string amplitudes

DOI10.1016/J.NUCLPHYSB.2022.115684zbMATH Open1485.81048arXiv2110.06333OpenAlexW3207836583MaRDI QIDQ2075583

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Publication date: 14 February 2022

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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.

Full work available at URL: https://arxiv.org/abs/2110.06333

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