On Path Integral Localization and the Laplacian
高能物理 - 理论
2009-10-30 v3
摘要
We introduce a new localization principle which is a generalized canonical transformation. It unifies BRST localization, the non-abelian localization principle and a special case of the conformal Duistermaat-Heckman integration formula of Paniak, Semenoff and Szabo. The heat kernel on compact Lie groups is localized in two ways. First using a non-abelian generalization of the derivative expansion localization of Palo and Niemi and secondly using the BRST localization principle and a configuration space path integral. In addition we present some new formulas on homogeneous spaces which might be useful in a possible localization of Selberg's trace formula on locally homogeneous spaces.
引用
@article{arxiv.hep-th/9712169,
title = {On Path Integral Localization and the Laplacian},
author = {Topi Kärki},
journal= {arXiv preprint arXiv:hep-th/9712169},
year = {2009}
}
备注
30 pages LaTeX, 1 figure; published version