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Euclidean Quantum Field Formulation of p-Adic open string amplitudes

High Energy Physics - Theory 2022-03-02 v2 Mathematical Physics 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.

Cite

@article{arxiv.2110.06333,
  title  = {Euclidean Quantum Field Formulation of p-Adic open string amplitudes},
  author = {A. R. Fuquen-Tibatá and H. García-Compeán and W. A. Zúñiga-Galindo},
  journal= {arXiv preprint arXiv:2110.06333},
  year   = {2022}
}

Comments

Final version. Accepted in Nuclear Physics B

R2 v1 2026-06-24T06:50:30.156Z