Faddeev-Jackiw Quantization of Christ-Lee Model

Abstract

We analyze the constraints of Christ-Lee model by the means of modified Faddeev-Jackiw formalism in Cartesian as well as polar coordinates. Further, we accomplish quantization à la Faddeev-Jackiw by choosing appropriate gauge conditions in both the coordinate systems. Finally, we establish gauge symmetries of Christ-Lee model with the help of zero modes of the symplectic matrix.

arXiv commentLaTeX file, 14 pages, no figures, typos fixed, text expanded, references added, revised version to appear in Modern Physics Letters A

References in corpus (12)

• Equivalence of Faddeev-Jackiw and Dirac approaches for gauge theories
• A field-theoretic model for Hodge theory
• Rigid Rotor as a Toy Model for Hodge Theory
• Faddeev-Jackiw quantization and the path integral
• Higher-derivative non-Abelian gauge fields via the Faddeev-Jackiw formalism
• Faddeev-Jackiw quantization of four dimensional BF theory
• Faddeev-Jackiw quantization of topological invariants: Euler and Pontryagin classes
• Symmetry transform in the Faddeev-Jackiw quantization of dual models
• Novel Symmetries in Christ-Lee Model
• Gauge symmetry and constraints structure in topologically massive AdS gravity: A symplectic viewpoint
• Anti Self-Dual Yang-Mills, Modified Faddeev-Jackiw Formalism and Hidden BRS Invariance
• Constrained dynamics of two interacting relativistic particles in the Faddeev-Jackiw symplectic framework

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• Symplectic gauge invariant reformulation of a free particle system on toric geometry
• Barcelos-Wotzasek symplectic algorithm for constrained systems revisited
• Faddeev-Jackiw Approach to Classical Constrained Systems