Background Field Method for Nonlinear sigma-Model in Stochastic Quantization

摘要

We formulate the background field method for the nonlinear sigma model in stochastic quantization. We demonstrate a one-loop calculation for a two-dimensional non-linear sigma model on a general Riemannian manifold based on our formulation. The formulation is consistent with the known results in ordinary quantization. As a simple application, we also analyze the multiplicative renormalization of the O(N) nonlinear sigma model. (ERA citation 14:006686)