Euclidean Quantum Field Formulation of p-Adic open string amplitudes

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.

Final version. Accepted in Nuclear Physics B

References in corpus (3)

• $p$-Adic Mathematical Physics: The First 30 Years
• On the relation between p-adic and ordinary strings
• On the Exchange Interactions in Holographic p-adic CFT

Cited by in corpus (4)

• p-Adic Statistical Field Theory and Deep Belief Networks
• Quantum deformation of cubic string field theory
• Towards Non-archimedean Superstrings
• The $p$-adic Jaynes-Cummings model in symplectic geometry