Loop Correlators and Theta States in 2D Yang-Mills Theory

TL;DR

This paper computes partition and correlation functions of Wilson and Polyakov loops in 2D Yang-Mills theory across different theta sectors, revealing connections with matrix quantum mechanics and adjoint QCD states.

Contribution

It provides explicit calculations of loop correlators in theta sectors and discusses their relation to matrix models and adjoint QCD.

Findings

Explicit formulas for partition functions and correlators in theta sectors.

Insights into the relationship between 2D Yang-Mills and matrix quantum mechanics.

Discussion of the role of the theta-angle in adjoint QCD states.

Abstract

Explicit computations of the partition function and correlation functions of Wilson and Polyakov loop operators in theta-sectors of two dimensional Yang-Mills theory on the line cylinder and torus are presented. Several observations about the correspondence of two dimensional Yang-Mills theory with unitary matrix quantum mechanics are presented. The incorporation of the theta-angle which characterizes the states of two dimensional adjoint QCD is discussed.