Dimensional regularization of nonlinear sigma models on a finite time interval
arXiv:hep-th/0008045 · doi:10.1016/S0370-2693(00)01180-1
Abstract
We extend dimensional regularization to the case of compact spaces. Contrary to previous regularization schemes employed for nonlinear sigma models on a finite time interval (``quantum mechanical path integrals in curved space'') dimensional regularization requires only a covariant finite two-loop counterterm. This counterterm is nonvanishing and given by R/8.
9 pages, 7 figures, LaTeX, minor changes in text and references
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