Canonical approach to 2D WZNW model, non-abelian bosonization and anomalies

Abstract

The gauged WZNW model has been derived as an effective action, whose Poisson bracket algebra of the constraints is isomorphic to the commutator algebra of operators in quantized fermionic theory. As a consequence, the hamiltonian as well as usual lagrangian non-abelian bosonization rules have been obtained, for the chiral currents and for the chiral densities. The expression for the anomaly has been obtained as a function of the Schwinger term, using canonical methods.

RevTex, 23 pages

References in corpus (8)

• CHIRAL SYMMETRIES OF THE WZNW MODEL BY HAMILTONIAN METHODS
• Canonical Quantization of Interacting WZW Theories
• W-Strings on Group Manifolds
• On the Equivalence between 2D Induced Gravity and a WZNW system
• 2D Induced Gravity as an Effective WZNW System
• 2D induced gravity from canonically gauged WZNW system
• General Solution of the WZNW System and 2D Induced Gravity in Curved Space-time
• W-Strings on Curved Backgrounds

Cited by in corpus (4)

• Thirring sine-Gordon relationship by canonical methods
• Canonical approach to 2D induced gravity
• Canonical approach to 2D supersymmetric WZNW model coupled to supergravity
• Non-Abelian gauge theories invariant under diffeomorphisms