The String Tension in Two Dimensional Gauge Theories

TL;DR

This paper reviews the properties and calculations of string tension in two-dimensional gauge theories, including massive QED and various forms of QCD2, analyzing corrections, temperature effects, and screening phenomena.

Contribution

It provides detailed evaluations of string tension in 2D gauge theories using both fermionic and bosonized approaches, including corrections and finite temperature behavior.

Findings

Leading string tension in massive QED evaluated in different descriptions

Next-to-leading corrections in quark-antiquark potential analyzed

String tension in various QCD2 models with different quark representations reviewed

Abstract

We review and elaborate on properties of the string tension in two-dimensional gauge theories. The first model we consider is massive QED in the $m\ll e$ limit. We evaluate the leading string tension both in the fermionic and bosonized descriptions. We discuss the next to leading corrections in $m/e$. The next-to-leading terms in the long distance behavior of the quark-antiquark potential, are evaluated in a certain region of external versus dynamical charges. The finite temperature behavior is also determined. In $QCD_2$ we review the results for the string tension of quarks in cases with dynamical quarks in the fundamental, adjoint, symmetric and antisymmetric representations. The screening nature of $SYM_2$ is re-derived.