Instanton-dyon Ensemble with two Dynamical Quarks: the Chiral Symmetry Breaking

TL;DR

This paper investigates how instanton-dyon ensembles with two light quark flavors exhibit chiral symmetry breaking, using numerical simulations to analyze Dirac spectra and the effects of dyon density.

Contribution

It introduces the fermionic factor into the instanton-dyon ensemble with two flavors and analyzes Dirac spectra to demonstrate chiral symmetry breaking at high dyon densities.

Findings

Dirac eigenvalue spectra show chiral symmetry breaking patterns.

Chiral symmetry breaking occurs at high dyon density.

Numerical simulations with 64 and 128 dyons support the results.

Abstract

This is the second paper of the series aimed at understanding the ensemble of instanton-dyons, now with two flavors of light dynamical quarks. The partition function is appended by the fermionic factor, $(det T)^{N_f}$ and Dirac eigenvalue spectra at small values are derived from the numerical simulation of 64 and 128 dyons. Those spectra show clear chiral symmetry breaking pattern at high dyon density.