Justification of the zeta function renormalization in rigid string model

V. V. Nesterenko; I. G. Pirozhenko

doi:10.1063/1.532211

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arXiv · hep-th/9703097

Justification of the zeta function renormalization in rigid string model

V. V. Nesterenko·I. G. Pirozhenko

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Abstract

A consistent procedure for regularization of divergences and for the 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.

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V. V. Nesterenko, I. G. Pirozhenko. 1999-03-29. Justification of the zeta function renormalization in rigid string model. https://doi.org/10.1063/1.532211

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