Deconfinement transition in a one-dimensional model at finite temperature

Abstract

We present a model for quark matter with a density dependent quark-quark (confining) potential, which allows to describe a deconfinement phase transition as the system evolves from a low density assembly of bound structures to a high density free Fermi gas of quarks. A proper account of the many-body correlations induced by the medium is crucial in order to disentangle this behaviour, which does not uniquely stem from the the naive density dependence of the interaction. We focus here on the effects of finite (non-zero) temperatures on the dynamical behaviour of the system. In particular we investigate the ground state energy per particle and the pair correlation function, from which one can extract the relevant information about the quarks being confined or not; the temperature dependence of the transition density is also derived.