The problem of repulsive quark interactions - Lattice versus mean field models

Abstract

We calculate the 2nd and 4th order quark number susceptibilities at zero baryochemical potential, using a PNJL approach and an approach which includes, in a single model, quark and hadronic degrees of freedom. We observe that the susceptibilities are very sensitive to possible quark-quark vector interactions. Compared to lattice data our results suggest that above $T_c$ any mean field type of repulsive vector interaction can be excluded from model calculations. Below $T_c$ our results show only very weak sensitivity on the strength of the quark and hadronic vector interaction. The best description of lattice data around $T_c$ is obtained for a case of coexistence of hadronic and quark degrees of freedom.

5 pages, 4 figure, version accepted by PLB

References in corpus (17)

• The Phase Structure of the Polyakov--Quark-Meson Model
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Proto-Neutron and Neutron Stars in a Chiral SU(3) Model
• Susceptibilities and speed of sound from PNJL model
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Thermodynamics of the PNJL model
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Quark number susceptibilities: lattice QCD versus PNJL model
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• Towards finite density QCD with Taylor expansions
• The QCD critical end point in the PNJL model
• Electrical neutrality and pion modes in the two flavor PNJL model
• Enforced neutrality and color-flavor unlocking in the three-flavor Polyakov-loop NJL model