Screening and confinement in large N_f QCD_2 and in N=1 SYM_2

TL;DR

This paper investigates the screening and confinement phenomena in two-dimensional QCD with many flavors and in N=1 super Yang Mills theory, revealing how potential behaviors depend on mass and flavor number.

Contribution

It introduces an expansion method in N_f to analyze screening and confinement in 2D QCD and applies similar techniques to N=1 SYM, highlighting problematic aspects and screening behavior.

Findings

Massless QCD_2 exhibits screening of external quark potential.

Massive QCD_2 shows confining potential.

N=1 SYM_2 reveals screening behavior and issues in bosonized form.

Abstract

The screening nature of the potential between external quarks in massless $SU(N_c)$ $QCD_2$ is derived using an expansion in $N_f$- the number of flavors. Applying the same method to the massive model, we find a confining potential. We consider the N=1 super Yang Mills theory, reveal certain problematic aspects of its bosonized version and show the associated screening behavior by applying a point splitting method to the scalar current.