QCD2-Screening, Confinement and Novel non-abelian Solutions

TL;DR

This paper investigates screening versus confinement in two-dimensional massless QCD, deriving the screening behavior for various fermion representations and introducing novel non-abelian solutions that elucidate the screening mechanism.

Contribution

It introduces new non-abelian solutions in 2D QCD and analyzes their role in the screening phenomenon, extending understanding of confinement in simplified models.

Findings

Massless SU(N_c) QCD exhibits screening behavior.

Novel non-abelian solutions are constructed and analyzed.

Massive mode exchange is linked to screening mechanism.

Abstract

We analyze the question of screening versus confinement in bosonized massless QCD in two dimensions. We deduce the screening behavior of massless $SU(N_c)$ QCD with flavored fundamental fermions and fermions in the adjoint representation. This is done by computing the potential between external quarks as well as by bosonizing also the external sources and analyzing the states of the combined system. We write down novel "non-abelian Schwinger like" solutions of the equations of motion, compute their masses and argue that an exchange of massive modes of this type is associated with the screening mechanism.