Model analysis on thermal UV-cutoff effects on the critical boundary in hot QCD

Abstract

We study the critical boundary on the quark-mass plane associated with the chiral phase transition in QCD at finite temperature. We point out that the critical boundaries obtained from the Lattice QCD simulation and the chiral effective model are significantly different; in the (Polyakov-loop coupled) Nambu--Jona-Lasinio (NJL) model we find that the critical mass is about one order of magnitude smaller than the value reported in the Lattice QCD case. It is known in the Lattice QCD study that the critical mass goes smaller in the continuum limit along the temporal direction. To investigate the temporal UV-cutoff effects quantitatively we consider the (P)NJL model with only finite $N_{\tau }$ Matsubara frequencies taken in the summation. We confirm that the critical mass in such a UV-tamed NJL model becomes larger with decreasing $N_{\tau }$, which demonstrates a correct tendency to explain the difference between the Lattice QCD and chiral model results.

5 pages, 4 figures

References in corpus (8)

• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• On the magnetic equation of state in (2+1)-flavor QCD
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• The critical surface of the SU(3)_L x SU(3)_R chiral quark model at non-zero baryon density
• Status of Lattice Studies of the QCD Phase Diagram
• U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface
• Color neutrality effects in the phase diagram of the PNJL model

Cited by in corpus (4)

• Nonet meson properties in Nambu--Jona-Lasinio model with dimensional versus cutoff regularization
• Generic features of the phase transition in cold and dense quark matter
• Nonet meson properties in Nambu-Jona-Lasinio model with dimensional regularization at finite temperature and chemical potential
• Model analysis of thermal UV-cutoff effects on the chiral critical surface at finite temperature and chemical potential