Abstract
We consider the stochastic quantization of field theories, generalized to suitable non-markovian processes which can be used as an analytic ultraviolet regularization, and also to provide a new approximation scheme for computing critical exponents. We discuss the renormalization procedure for the general case, making use also of the recently introduced methods based on BRS transformations, and we present a general formulation of a background field method for the Langevin equation.
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