Microscopic and Bulk Spectra of Dirac Operators from Finite-Volume Partition Functions

TL;DR

This paper demonstrates that the microscopic spectrum of the QCD Dirac operator follows random matrix model statistics near the origin, using finite-volume partition functions to analyze the bulk spectrum.

Contribution

It establishes a connection between finite-volume partition functions and the statistical behavior of the Dirac operator spectrum in QCD.

Findings

Microscopic spectrum obeys random matrix statistics near the origin.

Finite-volume partition functions effectively describe the bulk spectrum.

Supports universality of spectral fluctuations in QCD.

Abstract

The microscopic spectrum of the QCD Dirac operator is shown to obey random matrix model statistics in the bulk region of the spectrum close to the origin using finite-volume partition functions.