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 \`{a} 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.