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Chiral models and Stochastic Quantization

✍ Scribed by H Montani; F.A Schaposnik

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
660 KB
Volume
181
Category
Article
ISSN
0003-4916

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✦ Synopsis

We study gauge theories coupled to massless Weyl fermions within the Stochastic Quantization approach. We extend this method showing how consistent Langevin equations can be written when chiral fermions are present. We also analyse how symmetries can be handled in this approach to quantization. Although the method we propose is intended to apply in all dimensions (2,4, and others), we analyse for simplicity a two-dimensional example to explain how anomalies arise using the Stochastic Regularization scheme. We also discuss the solution of the Chiral Schwinger Model using this alternative quantization method which also leads to a consistent unitary theory for a certain range of an a priori undetermined regularization parameter.

πŸ“œ SIMILAR VOLUMES

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A new method of the generation of Green's function in external local and bilocal fields is proposed for the stochastic quantization of the 2D Hubbard model. The differential equations for Green's functions transform to the system of integral equations and it is solved numerically for a local Hubbard