Meromorphic continuation of Koba-Nielsen string amplitudes
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Publication:1995158
DOI10.1007/JHEP09(2020)138zbMATH Open1454.83125arXiv1905.10879MaRDI QIDQ1995158
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Publication date: 18 February 2021
Published in: (Search for Journal in Brave)
Abstract: In this article, we establish in a rigorous mathematical way that Koba-Nielsen amplitudes defined on any local field of characteristic zero are bona fide integrals that admit meromorphic continuations in the kinematic parameters. Our approach allows us to study in a uniform way open and closed Koba-Nielsen amplitudes over arbitrary local fields of characteristic zero. In the regularization process we use techniques of local zeta functions and embedded resolution of singularities. As an application we present the regularization of p-adic open string amplitudes with Chan-Paton factors and constant B-field. Finally, all the local zeta functions studied here are partition functions of certain 1D log-Coulomb gases, which shows an interesting connection between Koba-Nielsen amplitudes and statistical mechanics.
Full work available at URL: https://arxiv.org/abs/1905.10879
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