Non-Abelian Gauged Chiral Boson with a Generalized Faddevian Regularization

TL;DR

This paper develops a non-Abelian gauged chiral boson model with a generalized Faddeevian regularization, demonstrating its consistent Poincaré invariant phase space despite non-manifest Lorentz invariance.

Contribution

It introduces a novel non-Abelian gauged chiral boson framework with a generalized regularization, analyzing its quantization and phase space structure.

Findings

The theory is second class constrained.

The phase space is Poincaré invariant.

Lorentz invariance is not manifest in the action.

Abstract

We consider non-Abelian gauged version of chiral boson with a generalized Faddeevian regularization. It is a second class constrained theory. We quantize the theory and analyze the phase space. It is shown that in spite of the lack of manifest Lorentz invariance in the action, it has a consistent and Poincare' invariant phase space structure.