THE DYNAMIC QUANTIZATION IN APPLICATION TO 2-DIMENSIONAL GAUGE CHIRAL MODELS

Abstract

The dynamic quantization method suggested in Ref. 1 is developed here, on the basis of which the quantization of non-Abelian chiral Schwinger model is carried out. Under the dynamic quantization the regularization is realized by imposing the infinite set of the second class constraints for the dynamic variables in a deep ultraviolet region and by passing to the Dirac commutational relations. In this way success is achieved in realization of the traditional interpretation of the gauge theories which are known as anomal. The non-Abelian chiral Schwinger model proves to be gauge- and Lorentz-invariant.