2+1 flavor QCD with the fixed point action in the $\epsilon$-regime

TL;DR

This paper reports on lattice QCD simulations using a fixed-point Dirac operator in the epsilon-regime, comparing eigenvalue distributions with Random Matrix Theory to estimate the chiral condensate.

Contribution

It introduces lattice QCD configurations with the fixed-point action in the epsilon-regime and compares eigenvalue distributions to theoretical predictions.

Findings

Eigenvalue distributions match Random Matrix Theory predictions

Estimate of the chiral condensate from eigenvalue analysis

Demonstration of fixed-point action effectiveness in the epsilon-regime

Abstract

We generated configurations with the approximate fixed-point Dirac operator $D_\mathrm{FP}$ on a $12^4$ lattice with $a \approx 0.13 $fm where the scale was set by $r_0$. The distributions of the low lying eigenvalues in different topological sectors were compared with those of the Random Matrix Theory which leads to a prediction of the chiral condensate.