Faddeev–Jackiw quantization of Christ–Lee model
Anjali S, Saurabh Gupta
Abstract
We analyze the constraints of Christ–Lee model by 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.
Topics & Concepts
PhysicsSymplectic geometryFormalism (music)Cartesian coordinate systemQuantization (signal processing)Homogeneous spaceGauge theoryTheoretical physicsCanonical quantizationGauge (firearms)Mathematical physicsGeometric quantizationPolar coordinate systemClassical mechanicsDiffeomorphismCoordinate systemGauge fixingBRST quantizationAlgebra over a fieldHamiltonian lattice gauge theoryHamiltonian formalismGauge symmetryBlack Holes and Theoretical PhysicsNonlinear Waves and SolitonsNoncommutative and Quantum Gravity Theories