On Localization and Regularization
High Energy Physics - Theory
2009-10-28 v1
Abstract
Different regularizations are studied in localization of path integrals. We discuss the effect of the choice of regularization by evaluating the partition functions for the harmonic oscillator and the Weyl character for SU(2). In particular, we solve the Weyl shift problem that arises in path integral evaluation of the Weyl character by using the Atiyah-Patodi-Singer -invariant and the Borel-Weil theory.
Cite
@article{arxiv.hep-th/9508127,
title = {On Localization and Regularization},
author = {Mauri Miettinen},
journal= {arXiv preprint arXiv:hep-th/9508127},
year = {2009}
}
Comments
15 pages, LaTeX