Confinement Models at Finite Temperature and Density

Abstract

In-medium chiral symmetry breaking in confining potential models of QCD is examined. Past attempts to analyse these models have been hampered by infrared divergences that appear at non-zero temperature. We argue that previous attempts to circumvent this problem are not satisfactory and demonstrate a simple resolution. We also show that the expectation that confining models do not exhibit a chiral phase transition is incorrect. The effect of summing ring diagrams is investigated and we present the first determination of the temperature-density phase diagram for two model systems. We find that observables and the phase structure of the confinement models depend strongly on whether quark polarisation is accounted for. Finally, it appears that standard confinement models cannot adequately describe both hadron phenomenology and in-medium properties of QCD.

9 pages, 10 figures. Version to appear in PRD

References in corpus (5)

• Chirally symmetric but confining dense and cold matter
• Color neutrality effects in the phase diagram of the PNJL model
• Confined but chirally symmetric hadrons at large density and the Casher's argument
• Progress in finite temperature lattice QCD
• Real-time approach to quark confined systems at finite temperatures

Cited by in corpus (12)

• Variational approach to Yang-Mills theory at finite temperatures
• DbarN interaction in a color-confining chiral quark model
• Continuum study of various susceptibilities within thermal QED${}_3$
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
• The QCD string tension curve, the ferromagnetic magnetization, and the quark-antiquark confining potential at finite Temperature
• A large-$N_c$ PNJL model with explicit Z${}_{N_c}$ symmetry
• Coulomb gauge Yang-Mills theory at finite temperatures: glueballs versus quasi-gluons
• Quark running mass and vacuum energy density in truncated Coulomb gauge QCD for five orders of magnitude of current masses
• Strongly interacting matter in extreme magnetic fields
• Thermodynamics of the Quark-Gluon Plasma within a T-matrix approach
• Polarization effects at finite temperature and magnetic field