LIE-POISSON STRUCTURE OF CONFORMAL NON-ABELIAN THIRRING MODELS

It is shown that non-Abelian Thirring models can be formulated as the Hamiltonian systems with Poisson brackets of the Lie algebraic structu re. This fact allows Thirring models to be quantized by the Hamiltonia n method. We show that the classical Lie-Poisson structure can be prom oted to the quantum level in two different ways corresponding to diffe rent phases of non-Abelian Thirring models. There are special values o f coupling constants at which the Hamiltonian quantization of Thirring models can be carried out consistently with the conformal invariance. These fixed couplings appear to be the solutions of the Virasoro mast er equation.