# Faddeev-Jackiw Quantization of Christ-Lee Model

## TL;DR

This paper applies the modified Faddeev-Jackiw formalism to analyze and quantize the Christ-Lee model in different coordinate systems, establishing gauge symmetries through symplectic zero modes.

## Contribution

It introduces a comprehensive Faddeev-Jackiw quantization approach for the Christ-Lee model in Cartesian and polar coordinates, including gauge symmetry analysis.

## Key findings

- Successful quantization in both coordinate systems
- Identification of gauge symmetries via zero modes
- Clarification of constraints in the 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.