Path Integral Approach to Two-Dimensional QCD in the Light-Front

TL;DR

This paper applies the path integral formalism to two-dimensional QCD in the light-front frame, deriving an effective theory akin to Nambu-Jona Lasinio and analyzing confinement through constraints.

Contribution

It introduces a path integral quantization approach to 2D QCD in the light-front, resulting in an effective model and a direct analysis of confinement mechanisms.

Findings

Derived an effective Nambu-Jona Lasinio-like model for 2D QCD

Demonstrated confinement by analyzing constraints in the path integral

Provided a Hamiltonian-based quantization method for light-front 2D QCD

Abstract

Two-dimensional quantum cromodynamics in the light-front frame is studied following hamiltonian methods. The theory is quantized using the path integral formalism and an effective theory similar to the Nambu-Jona Lasinio model is obtained. Confinement in two dimensions is derived analyzing directly the constraints in the path integral.