Detecting chiral singularities in lattice QCD at strong coupling

TL;DR

This paper investigates the challenges of identifying chiral singularities in strongly coupled lattice QCD at finite temperature, demonstrating consistency with Chiral Perturbation Theory but requiring very small quark masses.

Contribution

It highlights the difficulty of observing chiral singularities in lattice QCD simulations due to the need for extremely small quark masses, aligning lattice results with theoretical predictions.

Findings

Chiral condensate, pion mass, and decay constant match Chiral Perturbation Theory predictions.

Detecting chiral singularities requires quark masses smaller than those used in typical simulations.

The study emphasizes the gap between theoretical conditions and practical simulation parameters.

Abstract

We study the difficulties associated with detecting chiral singularities in strongly coupled lattice QCD at fixed nonzero tempearture. We show that the behavior of the chiral condensate, the pion mass and the pion decay constant, for small masses, are all consistent with the predictions of Chiral Perturbation Theory. However, the values of the quark masses that we need to demonstrate this are much smaller than those being used in dynamical QCD simulations.