Renormalization Scheme in Stochastic Quantization

Abstract

AbstractIn this chapter, we shall discuss renormalization within the stochastic quantization scheme. In the historical development of the ordinary formalism of quantum field theory, the renormalization program to remove ultraviolet divergences consistently has been of great importance. For a class of field theories, the renormalization scheme allows us to do meaningful perturbative calculations despite the presence of divergences. As is well known, these predictions are in excellent agreement with experiments for quantum electrodynamics. Successful completion of the renormalization program for the Yang-Mills theory has been crucial in the acceptance and further development of the original Weinberg-Salam theory of weak and electromagnetic interactions. Attempts to construct anomaly free models to ensure renormalizability was one of the chief theoretical grounds for introducing the fourth quark. Renormalization continues to be of extreme importance for both theoretical and phenomenological reasons.KeywordsWard IdentityLangevin EquationRenormalization SchemeRenormalization ConstantCounter TermThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.