Semiclassical limits for the QCD Dirac operator

TL;DR

This paper explores the semiclassical limits of the QCD Dirac operator, analyzing how different parameters influence spectral properties and the interplay of degrees of freedom near zero virtuality.

Contribution

It identifies three semiclassical parameters in the QCD Dirac operator and discusses how different limits affect spectral statistics and degrees of freedom coupling.

Findings

Different semiclassical limits influence spectral statistics.

Coupling of degrees of freedom depends on the limit taken.

Potential to describe spectral behavior near zero virtuality.

Abstract

We identify three semiclassical parameters in the QCD Dirac operator. Mutual coupling of the different types of degrees of freedom (translational, colour and spin) depends on how the semiclassical limit is taken. We discuss various semiclassical limits and their potential to describe spectrum and spectral statistics of the QCD Dirac operator close to zero virtuality.