Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-08-04
Phys.Lett. B494 (2000) 161-167
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, 7 figures, LaTeX, minor changes in text and references
Scientific paper
10.1016/S0370-2693(00)01180-1
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.
Bastianelli Fiorenzo
Corradini Olindo
Nieuwenhuizen Patrick van
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