Regularization of p-adic String Amplitudes, and Multivariate Local Zeta Functions
Mathematical Physics
2018-11-22 v3 math.MP
Abstract
We prove that the p-adic Koba-Nielsen type string amplitudes are bona fide integrals. We attach to these amplitudes Igusa-type integrals depending on several complex parameters and show that these integrals admit meromorphic continuations as rational functions. Then we use these functions to regularize the Koba-Nielsen amplitudes. As far as we know, there is no a similar result for the Archimedean Koba-Nielsen amplitudes. We also discuss the existence of divergencies and the connections with multivariate Igusa's local zeta functions.
Cite
@article{arxiv.1611.03807,
title = {Regularization of p-adic String Amplitudes, and Multivariate Local Zeta Functions},
author = {Miriam Bocardo-Gaspar and H. García-Compeán and W. A. Zúñiga-Galindo},
journal= {arXiv preprint arXiv:1611.03807},
year = {2018}
}
Comments
To appear in Letters in Mathematical Physics