arXiv subjects

Subir Ghosh

Publications and source records attributed to Subir Ghosh.

132 records · Page 8Linked to original sources

arXiv1995

A novel BRST approach in generalizing the Jackiw-Nair anyon

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.

hep-th↗

arXiv1994

Interacting anyons and the Darwin Lagrangian

We propose a new model for interacting (electrically charged) anyons, where the 2+1-dimensional Darwin term is responsible for interactions. The Hamiltonian is comparable with the one used previously (in the RPA calculation).

hep-th↗

arXiv1994

Anyons in Electromagnetic Field and the BMT Equation

The Lagrangian model for anyon, presented in [6], is extended to include interactions with external, homogeneous electromagnetic field. Explicit electric and magnetic moment terms for the anyon are introduced in the Lagrangian. The 2+1-dimensional BMT equation as well as the correct value (2) of the gyromagnetic ratio is rederived, in the Hamiltonian framework.

hep-th↗

arXiv1994

Spinning particles in $2+1$ dimensions

Lagrangian and Hamiltonian formulations of a free spinning particle in 2+1-dimensions or {\it anyon} are established, following closely the analysis of Hanson and Regge. Two viable (and inequivalent) Lagrangians are derived. It is also argued that one of them is more favourable. In the Hamiltonian analysis non-triviaal Dirac Brackets of the fundamental variables are computed for both the models. Important qualitative differences with a recently proposed model for anyons are pointed out.

hep-th↗

arXiv1993

Quantisation of $O(N)$ invariant nonlinear sigma model in the Batalin-Tyutin formalism

We quantise the $O(N)$ nonlinear sigma model using the Batalin Tyutin (BT) approach of converting a second class system into first class. It is a {\it nontrivial} application of the BT method since the quantisation of this model by the conventional Dirac procedure suffers from operator ordering ambiguities. The first class constraints, the BRST Hamiltonian and the BRST charge are explicitly computed. The partition function is constructed and evaluated in the unitary gauge and a multiplier (ghost) dependent gauge.

hep-th↗

arXiv1993

Batalin-Tyutin Quantisation of the $CP^{N-1}$ model

The $CP^{N-1}$ model is quantised in the generalised canonical formalism of Batalin and Tyutin by converting the original second class system into first class. Operator ordering ambiguities present in the conventional quantisation scheme of Dirac are thereby avoided. The first class constraints, the involutive Hamiltonian and the BRST charge are explicitly computed. The partition function is defined and evaluated in the unitary gauge.

hep-th↗