Model analysis of thermal UV-cutoff effects on the chiral critical surface at finite temperature and chemical potential

TL;DR

This paper investigates how a temporal UV-cutoff affects the chiral critical surface in hot and dense QCD using an effective model, finding that the qualitative features remain stable despite changes in the cutoff.

Contribution

It demonstrates that the critical surface's qualitative features are robust against UV-cutoff variations in a chiral effective model, contrasting recent lattice QCD findings.

Findings

Critical surface features are stable under UV-cutoff variation.

Discrepancy with lattice QCD suggests additional interactions or coupling dependence.

Finite Matsubara summation does not significantly alter the critical surface.

Abstract

We study the effects of temporal UV-cutoff on the chiral critical surface in hot and dense QCD using a chiral effective model. Recent lattice QCD simulations indicate that the curvature of the critical surface might change toward the direction in which the first order phase transition becomes stronger on increasing the number of lattice sites. To investigate this effect on the critical surface in an effective model approach, we use the Nambu-Jona-Lasinio model with finite Matsubara frequency summation. We find that qualitative feature of the critical surface does not alter appreciably as we decrease the summation number, which is unlike the case what is observed in the recent lattice QCD studies. This may either suggest the dependence of chemical potential on the coupling strength or due to some additional interacting terms such as vector interactions which could play an important role at finite density.