Justification of the zeta function renormalization in rigid string model

A consistent procedure for regularization of divergences and for subsequent renormalization of the string tension is proposed in the framework of the one-loop calculation of the interquark potential generated by the Polyakov–Kleinert string. In this way, a justification of the formal treatment of di...

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Bibliographic Details
Published in:Journal of mathematical physics 1997-12, Vol.38 (12), p.6265-6280
Main Authors: Nesterenko, V. V., Pirozhenko, I. G.
Format: Article
Language:English
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Summary:A consistent procedure for regularization of divergences and for subsequent renormalization of the string tension is proposed in the framework of the one-loop calculation of the interquark potential generated by the Polyakov–Kleinert string. In this way, a justification of the formal treatment of divergences by analytic continuation of the Riemann and Epstein–Hurwitz zeta functions is given. A spectral representation for the renormalized string energy at zero temperature is derived, which enables one to find the Casimir energy in this string model at nonzero temperature very easy.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.532211