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.
Dimensional regularization of nonlinear sigma models on a finite time interval / Bastianelli, F; Corradini, Olindo; Van Nieuwenhuizen, P.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 494:1-2(2000), pp. 161-167. [10.1016/S0370-2693(00)01180-1]
Dimensional regularization of nonlinear sigma models on a finite time interval
CORRADINI, Olindo;
2000
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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