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arXiv · 1611.03807

Regularization of p-adic String Amplitudes, and Multivariate Local Zeta Functions

Miriam Bocardo-Gaspar·H. García-Compeán·W. A. Zúñiga-Galindo
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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.

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Miriam Bocardo-Gaspar, H. García-Compeán, W. A. Zúñiga-Galindo. 2016-11-11. Regularization of p-adic String Amplitudes, and Multivariate Local Zeta Functions. https://arxiv.org/abs/1611.03807

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