Universal Massive Spectral Correlators and QCD_3

TL;DR

This paper derives universal spectral correlators for the Dirac operator in QCD_3 using random matrix theory, confirming their consistency with QCD_3 sum rules and spontaneous flavor symmetry breaking.

Contribution

It introduces the double-microscopic massive spectral correlators for QCD_3 and proves their universality and compliance with spectral sum rules.

Findings

Spectral correlators are universal across models.

Correlators satisfy exact QCD_3 spectral sum rules.

Results confirm spontaneous flavor symmetry breaking in QCD_3.

Abstract

Based on random matrix theory in the unitary ensemble, we derive the double-microscopic massive spectral correlators corresponding to the Dirac operator of QCD_3 with an even number of fermions N_f. We prove that these spectral correlators are universal, and demonstrate that they satisfy exact massive spectral sum rules of QCD_3 in a phase where flavor symmetries are spontaneously broken according to U(N_f) -> U(N_f/2) x U(N_f/2).