Two Dimensional Quantum Chromodynamics on a Cylinder

TL;DR

This paper investigates two-dimensional Quantum Chromodynamics with massive quarks on a cylindrical geometry using a light-cone approach, simplifying the theory to quark and Wilson loop variables without gauge fixing.

Contribution

It introduces a gauge-fixing-free reduction of 2D QCD on a cylinder, expressing the theory in terms of quark and Wilson loop variables and defining the fermionic Fock space independently.

Findings

Reduction without gauge fixing achieved

Fermionic Fock space constructed independently

Theory expressed in terms of quark and Wilson loop variables

Abstract

We study two dimensional Quantum Chromodynamics with massive quarks on a cylinder in a light--cone formalism. We eliminate the non--dynamical degrees of freedom and express the theory in terms of the quark and Wilson loop variables. It is possible to perform this reduction without gauge fixing. The fermionic Fock space can be defined independent of the gauge field in this light--cone formalism.