Stochastic quantization of nonlinear σ-models with Wess-Zumino terms

Abstract

We investigate nonlinear σ-models with Wess-Zumino terms in stochastic quantization based on the previously established superspace formulation of the stochastic background field method. In contrast with the ordinary quantization method, the one-loop corrections to the metric tensor in stochastic quantization are different, depending on the terms in which it appears.