Dimensional regularization of nonlinear sigma models on a finite time interval

F. Bastianelli; O. Corradini; P. van Nieuwenhuizen

doi:10.1016/s0370-2693(00)01180-1

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arXiv · hep-th/0008045

Dimensional regularization of nonlinear sigma models on a finite time interval

F. Bastianelli·O. Corradini·P. van Nieuwenhuizen

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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.

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F. Bastianelli, O. Corradini, P. van Nieuwenhuizen. 2000-10-02. Dimensional regularization of nonlinear sigma models on a finite time interval. https://doi.org/10.1016/s0370-2693(00)01180-1

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