Justification of the zeta function renormalization in rigid string model
高能物理 - 理论
2009-10-30 v2
摘要
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.
引用
@article{arxiv.hep-th/9703097,
title = {Justification of the zeta function renormalization in rigid string model},
author = {V. V. Nesterenko and I. G. Pirozhenko},
journal= {arXiv preprint arXiv:hep-th/9703097},
year = {2009}
}
备注
18 pages, LaTex file and 3 figure files in Postscript format; some misprints are corrected and figure files are included