On the Quantization of FLPR Model

TL;DR

This paper quantizes the FLPR model using a modified Faddeev-Jackiw approach, deriving gauge symmetries and BRST invariances, and confirms that physical states satisfy Dirac constraints.

Contribution

It introduces a novel quantization method for the FLPR model with explicit derivation of gauge and BRST symmetries within the modified Faddeev-Jackiw framework.

Findings

Derived gauge symmetries and BRST invariances for the FLPR model.

Established physical states are annihilated by first class constraints.

Confirmed consistency with Dirac formalism.

Abstract

We quantize the Friedberg-Lee-Pang-Ren (FLPR) model, using an admissible gauge condition, within the framework of modified Faddeev-Jackiw formalism. Further, we deduce the gauge symmetries and establish off-shell nilpotent and absolutely anti-commuting (anti-)BRST symmetries. We also show that the physical states of the theory are annihilated by the first class constraints which is consistent \textit{\`{a} la} Dirac formalism.