Chiral models and stochastic quantization

Journal Article · Fri Jan 01 00:00:00 EST 1988 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(88)90119-4· OSTI ID:5273738

Montani, H; Schaposnik, F A

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.

• Research Organization: Departamento de Fisica, Universidad Nacional de La Plata, C.C. 67, 190 La Plata, Argentina
• OSTI ID: 5273738
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 181:1
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
UNIFIED GAUGE MODELS
QUANTIZATION
CHIRALITY
FERMIONS
LANGEVIN EQUATION
QUANTUM FIELD THEORY
STOCHASTIC PROCESSES
WEYL UNIFIED THEORY
EQUATIONS
FIELD THEORIES
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
UNIFIED-FIELD THEORIES
645400* - High Energy Physics- Field Theory