STOCHASTIC QUANTIZATION OF THE NONLINEAR SIGMA-MODEL AND THE BACKGROUND FIELD METHOD

The background field method is a useful scheme for calculation of the effective action in conventional quantum field theory. In stochastic q uantization this approach is introduced by using auxiliary fields, as suggested by Okano. In this work, we implement the background field me thod, using the normal coordinate expansion, for the nonlinear sigma m odel on a general Riemanninan manifold in the context of stochastic qu antization. We also calculate, making use of this novel formulation, t he action necessary for investigation of the divergences, at least at the one-loop level.