Dimensional regularization of nonlinear sigma models on a finite time interval

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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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.

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