Dimensional regularization of nonlinear sigma models on a finite time interval
High Energy Physics - Theory
2009-10-31 v2
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.
Cite
@article{arxiv.hep-th/0008045,
title = {Dimensional regularization of nonlinear sigma models on a finite time interval},
author = {F. Bastianelli and O. Corradini and P. van Nieuwenhuizen},
journal= {arXiv preprint arXiv:hep-th/0008045},
year = {2009}
}
Comments
9 pages, 7 figures, LaTeX, minor changes in text and references