Justification of the zeta function renormalization in rigid string model

Details Justification of the zeta function renormalization in rigid string model Justification of the zeta function renormalization in rigid string model

1997-03-13

arxiv.org/abs/hep-th/9703097v2

J.Math.Phys. 38 (1997) 6265-6280

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTex file and 3 figure files in Postscript format; some misprints are corrected and figure files are included

Scientific paper

10.1063/1.532211

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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