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

共 50 条

[11] The p-adic Arakawa-Kaneko zeta functions and p-adic Lerch transcendent
Young, Paul Thomas
JOURNAL OF NUMBER THEORY, 2015, 155 : 13 - 35
[12] p-Adic measures associated with zeta values and p-adic log multiple gamma functions
Kashio, Tomokazu
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2019, 15 (05) : 991 - 1007
[13] On p-adic multiple zeta and log gamma functions
Tangedal, Brett A.
Young, Paul T.
JOURNAL OF NUMBER THEORY, 2011, 131 (07) : 1240 - 1257
[14] Computing zeta functions via p-adic cohomology
Kedlaya, KS
ALGORITHMIC NUMBER THEORY, PRCEEDINGS, 2004, 3076 : 1 - 17
[15] p-adic reconstruction of rational functions in multiloop amplitudes
Chawdhry, Herschel A.
PHYSICAL REVIEW D, 2024, 110 (05)
[16] A note on p-adic q-zeta-functions
Dabrowski, A
JOURNAL OF NUMBER THEORY, 1997, 64 (01) : 100 - 103
[17] WEIERSTRASS ZETA FUNCTIONS AND p-ADIC LINEAR RELATIONS
Pham, Duc Hiep
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2024,
[18] On the universal p-adic sigma and Weierstrass zeta functions
Blakestad, Clifford
Grant, David
JOURNAL OF NUMBER THEORY, 2023, 249 : 348 - 376
[19] P-ADIC STRING
VOLOVICH, IV
CLASSICAL AND QUANTUM GRAVITY, 1987, 4 (04) : L83 - L87
[20] NEGATIVE INTEGRAL VALUES OF ZETA-FUNCTIONS AND P-ADIC ZETA-FUNCTIONS
CASSOUNOGUES, P
INVENTIONES MATHEMATICAE, 1979, 51 (01) : 29 - 59

← 1 2 3 4 5 →