Gauged Floreanini-Jackiw type chiral boson and its BRST quantization

TL;DR

This paper explores the BRST quantization of a gauged Floreanini-Jackiw type chiral boson, demonstrating its relation to the gauged Siegel model and establishing equivalence between different phase space formulations.

Contribution

It formulates a BRST invariant action for the gauged FJ chiral boson using an improved FIK formalism and compares gauge symmetric and non-invariant phase space approaches.

Findings

BRST invariant action successfully formulated

Equivalence established between gauge symmetric and original phase spaces

Alternative quantization with Lorentz gauge demonstrated

Abstract

The gauged model of Siegel type chiral boson is considered. It has been shown that the action of gauged model of Floreanini-Jackiw (FJ) type chiral boson is contained in it in an interesting manner. A BRST invariant action corresponding to the action of gauged FJ type chiral boson has been formulated using Batalin, Fradkin and Vilkovisky based improved Fujiwara, Igarishi and Kubo (FIK) formalism. An alternative quantization of the gauge symmetric action has been made with a Lorentz gauge and an attempt has been made to establish the equivalence between the gauge symmetric version of the extended phase space and original gauge non-invariant version of the usual phase space.