Chiral models and stochastic quantization

H. MONTANI; F. A. SCHAPOSNIK

ANNALS OF PHYSICS (NEW YORK)

ACADEMIC PRESS INC ELSEVIER SCIENCE

Lugar: Amsterdam; Año: 1988 vol. 181 p. 161 - 173

0003-4916

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.