Screening in Supersymmetric Gauge Theories in Two Dimensions

TL;DR

This paper demonstrates that in various two-dimensional supersymmetric gauge theories, the string tension vanishes regardless of the external sources' representation, and provides explicit calculations for the massive Schwinger model.

Contribution

It establishes the universal vanishing of string tension in 2D supersymmetric gauge theories and introduces a method for calculating string tension in the massive Schwinger model.

Findings

String tension vanishes in N=1 2D super Yang-Mills theory.

The result extends to SQCD_2 and other supersymmetric models.

Explicit calculation of string tension in the massive Schwinger model.

Abstract

We show that the string tension in N=1 two-dimensional super Yang-Mills theory vanishes independently of the representation of the quark anti-quark external source. We argue that this result persists in SQCD_2 and in two-dimensional gauge theories with extended supersymmetry or in chiral invariant models with at least one massless dynamical fermion. We also compute the string tension for the massive Schwinger model, as a demonstration of the method of the calculation.