Dimensional regularization of nonlinear sigma models on a finite time interval

2000/08/31 by Fiorenzo Bastianelli, F. Bastianelli, Olindo Corradini +2 · 3 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #hep-th

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

published as Phys.Lett. B494 (2000) 161-167 · 9 pages, 7 figures, LaTeX, minor changes in text and references

arxiv created 2000/10/02 · openalex publication_date 2000/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

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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