Regularization of \(p\)-adic string amplitudes, and multivariate local zeta functions
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Publication:2000937
DOI10.1007/S11005-018-1137-1zbMATH Open1417.81155arXiv1611.03807OpenAlexW2963369849WikidataQ128889487 ScholiaQ128889487MaRDI QIDQ2000937
Author name not available (Why is that?)
Publication date: 1 July 2019
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1611.03807
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