A novel BRST approach in generalizing the Jackiw-Nair anyon
Subir Ghosh, S. Mukhopadhyay
TL;DR
This paper introduces a new BRST quantization method applied to generalize the Jackiw-Nair anyon model, demonstrating the physicality of matter states in a non-zero ghost sector and analyzing reducible constraints.
Contribution
It presents a novel BRST approach for the Jackiw-Nair anyon system, including the first detailed analysis of reducible constraint systems in this context.
Findings
Matter states with non-zero ghost sector are physical.
The Jackiw-Nair system is recovered in a specific gauge.
First in-depth analysis of reducible constraints in this framework.
Abstract
A novel BRST quantization is described, which is applied in generalizing the Jackiw-Nair construction of anyon. We have explicitly shown that the matter states connected to an unconventional ("non-zero") BRST ghost sector are physical. They are identified to the Jackiw-Nair system in a particular gauge. Also for the first time an indepth analysis of the present kind for a reducible constraint system, ( where the constraints are not independent), has been performed.
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