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arXiv · hep-th/9712169

On Path Integral Localization and the Laplacian

Topi Kärki
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Abstract

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.

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Topi Kärki. 1999-05-27. On Path Integral Localization and the Laplacian. https://doi.org/10.1063/1.532836

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