Quantization of gauged Floreanini-Jackiw chiral boson with Faddeevian anomaly

TL;DR

This paper explores the quantization of a gauged chiral boson model with Faddeevian anomaly, analyzing both gauge-invariant and non-invariant versions, and investigates BRST symmetry under various gauge fixings.

Contribution

It provides a detailed quantization of the gauged Floreanini-Jackiw chiral boson with Faddeevian anomaly in both gauge-invariant and non-invariant forms, including BRST symmetry analysis.

Findings

Quantization in both Lagrangian and Hamiltonian formalisms.

Mapping of gauge-invariant model to physical phase space.

BRST invariance depends on gauge fixing choice.

Abstract

We consider the gauged model of Siegel type chiral boson with a Lorentz non-covariant mass-like term for the gauge fields which is found to be equivalent to the chiral Schwinger model with Faddeevian anomaly when it is described in terms of Floreanini-Jackiw type chiral boson. We carry out the quantization of gauge non-invariant version this model in both the Lagrangian and Hamiltonian formulation. The quantization of the gauge-invariant version of this model in the extended phase space also has been carried out in the Lagrangian formulation. The gauge-invariant version of this model in the extended phase space is found to map onto the physical phase space with the appropriate gauge fixing condition. BRST symmetry associated with this model has been studied with different gauge fixing terms. It has been shown that the same model shows off-shell as well as on-shell BRST invariance depending on the choice of gauge fixing term.