2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158658It 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.28 pagesHigh Energy Physics - TheoryEquivariant Localization in Stochastic Quantization and Quenched Matrix Modelstext