Symplectic gauge invariant reformulation of a free particle system on toric geometry

Abstract

We deduce the constraint structure and subsequently quantize a free particle system residing on a torus satisfying the geometric constraint $(r-a)=0$, within the framework of modified Faddeev-Jackiw formalism. Further, we reformulate the system as a gauge theory by the means of symplectic gauge invariant formalism. Finally, we establish the off-shell nilpotent and absolutely anti-commuting (anti-)BRST symmetries of the reformulated gauge invariant theory.

LaTeX file, 15 pages, no figures, accepted for publication in EPL

References in corpus (2)

• Faddeev-Jackiw quantization of four dimensional BF theory
• Off-shell nilpotent (anti-)BRST symmetries for a free particle system on a toric geometry: superfield formalism