Hamiltonian Formulation of the Smooth Bosonization and Local Gauge Symmetry of the Massless Thirring Model

TL;DR

This paper explores the Hamiltonian approach to smooth bosonization of the massless Thirring model, revealing a local gauge symmetry and deriving its generator through canonical transformations.

Contribution

It introduces a Hamiltonian formalism for smooth bosonization and uncovers a local gauge symmetry in the massless Thirring model at a specific coupling.

Findings

Identification of a local gauge symmetry in the massless Thirring model.

Derivation of the gauge symmetry generator via canonical transformation.

Establishment of a Hamiltonian framework for smooth bosonization.

Abstract

Using the hamiltonian formalism, we investigate the smooth bosonization method in which bosonization and fermionization are carried out through a specific gauge-fixing of an enlarged gauge invariant theory. The generator of the local gauge symmetry, which cannot be derived from the lagrangian of the enlarged theory, is obtained by making a canonical transformation. We also show that the massless Thirring model possesses a similar local gauge symmetry for a speific value of the coupling constant.