English

Equivariant Localization in Stochastic Quantization and Quenched Matrix Models

High Energy Physics - Theory 2008-04-14 v1

Abstract

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.

Cite

@article{arxiv.0804.1890,
  title  = {Equivariant Localization in Stochastic Quantization and Quenched Matrix Models},
  author = {Levent Akant},
  journal= {arXiv preprint arXiv:0804.1890},
  year   = {2008}
}

Comments

28 pages

R2 v1 2026-06-21T10:29:57.891Z