On Eigenvalue Decompactification in QCD$_{1+1} $

TL;DR

This paper investigates whether decompactifying gauge eigenvalues is necessary in 1+1 dimensional QCD, concluding that it is not due to the effects of curvature on the eigenvalue space.

Contribution

It demonstrates that eigenvalue decompactification in QCD$_{1+1}$ is unnecessary because of the curvature effects on the eigenvalue space, challenging previous assumptions.

Findings

Eigenvalue decompactification is not required in QCD$_{1+1}$.

Curvature on the eigenvalue space influences the dynamics significantly.

Decompactification can be avoided without losing essential physics.

Abstract

The question whether it is necessary to decompactify the gauge eigenvalue degrees of freedom in QCD$_{1+1} $ is addressed. A careful consideration of the dynamics governing these degrees of freedom leads to the conclusion that eigenvalue decompactification is not necessary due to the curvature on the space of eigenvalues.