Equivariant Localization in Stochastic Quantization and Quenched Matrix Models

Details Equivariant Localization in Stochastic Quantization and Quenched Matrix Models Equivariant Localization in Stochastic Quantization and Quenched Matrix Models

2008-04-11

arxiv.org/abs/0804.1890v1

Physics

High Energy Physics

High Energy Physics - Theory

28 pages

Scientific paper

It is shown that Parisi-Sourlas supersymmetry of stochastic quantization is a Cartan model of equivariant cohomology. Equivariant cohomological structure of stochastic quantization of linear and non-linear sigma models are discussed. Witten's nonabelian localization principle is applied to the stochastic quantization of matrix models. As a result the equivalence between the original matrix model and the corresponding quenched Eguchi-Kawai model is established.

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