Mesonic correlations and quark deconfinement

Abstract

A simple confining separable interaction Ansatz for the rainbow-ladder truncated QCD Dyson-Schwinger equations is used to implement chiral restoration and quark deconfinement in a study of $\bar q q$ meson states at finite temperature. The model is fixed at T=0 by reproducing selected pi and rho properties. Deconfinement and chiral restoration are found to both occur at T_c=146 MeV. In the pion sector, we investigate M_pi(T) and f_pi(T) along with the exact QCD mass relation and the GMOR relation. For the vector mode, we investigate the 3-space transverse and longitudinal masses M_rho^T(T) and M_ρ^L(T), along with the widthfor the decay rho^0 --> e^+e^-. The equation of state (EOS) for the model is investigated in the T-mu plane, a tri-critical point is identified and the relationship to a bag model is discussed. The deconfinement transition in rapidly rotating neutron stars is considered and a new signal from the pulsar timing in binary systems with mass accretion is suggested. The model is used to discuss the possibility of a superconducting quark matter phase.