Conformal non-Abelian Thirring models

TL;DR

This paper explores the Lie-Poisson structure and Hamiltonian quantization of non-Abelian Thirring models, revealing nonperturbative conformal points linked to solutions of the Virasoro master equation and clarifying its BRST nature.

Contribution

It provides a Hamiltonian quantization framework for non-Abelian Thirring models and identifies their nonperturbative conformal points related to the Virasoro master equation.

Findings

Established consistency between Hamiltonian and path integral quantizations.

Identified nonperturbative conformal points in the model space.

Clarified the BRST nature of the Virasoro master equation.

Abstract

The Lie-Poisson structure of non-Abelian Thirring models is discussed and the Hamiltonian quantization of these theories is carried out. The consistency of the Hamiltonian quantization with the path integral method is established. It is shown that the space of non-Abelian Thirring models contains the nonperturbative conformal points which are in one-to-one correspondence with general solutions of the Virasoro master equation. A BRST nature of the mastert equation is clarified.