Regularization of p-adic string amplitudes, and multivariate local zeta functions

被引：14

作者：

Bocardo-Gaspar, Miriam ^{[1
]}

Garcia-Compean, H. ^{[2
]}

Zuniga-Galindo, W. A. ^{[1
]}

机构：

[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Matemat, Unidad Queretaro, Libramiento Norponiente 2000, Santiago De Queretaro 76230, Qro, Mexico

[2] IPN, Ctr Invest & Estudios Avanzados, Dept Fis, Ave Inst Politecn Nacl 2508, Mexico City 07360, DF, Mexico

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2019年 / 109卷 / 05期

关键词：

p-adic string theory; String amplitudes; Regularization; Local zeta functions; FEYNMAN-INTEGRALS; MOMENTUM-SPACE; ARGUMENT;

D O I：

10.1007/s11005-018-1137-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 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.

引用

页码：1167 / 1204

页数：38

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