Deconfinement at finite chemical potential

In a confining, renormalisable, Dyson-Schwinger equation model of two-flavour QCD we explore the chemical-potential dependence of the dressed-quark propagator, which provides a means of determining the behaviour of the chiral and deconfinement order parameters, and low-energy pion observables. We find coincident, first order deconfinement and chiral symmetry restoration transitions at μc = 375MeV. fπ is insensitive to μ until μ ≈ μ0 . = 0.7μc when it begins to increase rapidly. mπ is weakly dependent on μ, decreasing slowly with μ and reaching a minimum 6% less than its μ = 0 value at μ = μ0. In a two-flavour free-quark gas at μ = μc the baryon number density would be approximately 3ρ0, where ρ0 = 0.16 fm ; while in such a gas at μ0 the density is ρ0.