Aspects of Confinement and Chiral Dynamics in 2-d QED at Finite Temperature

TL;DR

This paper investigates the confinement and chiral properties of two-dimensional QED at finite temperature, analyzing the Polyakov loop, string tension, and chiral condensate changes using bosonization and Schrödinger equation solutions.

Contribution

It introduces a method to study chiral dynamics in 2D QED at finite temperature by reducing the problem to a Schrödinger equation with a specific potential.

Findings

Polyakov loop and string tension are evaluated at various temperatures.

The vacuum angle parameter shifts by 2π(q/e), affecting chiral condensate.

Chiral dynamics of a heavy fermion are explored numerically.

Abstract

We evaluate the Polyakov loop and string tension at zero and finite temperature in $QED_2.$ Using bozonization the problem is reduced to solving the Schr\"odinger equation with a particular potential determined by the ground state. In the presence of two sources of opposite charges the vacuum angle parameter $\theta $ changes by $2\pi (q/e)$, independent of the number of flavors. This, in turn, alters the chiral condensate. Particularly, in the one flavor case through a simple computer algorithm, we explore the chiral dynamics of a heavy fermion.