The influence of baryons on the chiral phase transition in QCD

preprint2004arXivOpen access

Abstract

A qualitative analysis of the chiral phase transition in QCD with two massless quarks and non--zero baryon density is performed. It is assumed that at zero baryonic density, ρ=0ρ=0, the temperature phase transition is of the second order. Due to a specific power dependence of baryon masses on the chiral condensate the phase transition becomes of the first order at the temperature T=Tph(ρ)T=T_{\mathrm{ph}}(ρ) for ρ>0ρ>0. At temperatures Tcont(ρ)>T>Tph(ρ)T_{\mathrm{cont}}(ρ) > T > T_{\mathrm{ph}}(ρ) there is a mixed phase consisting of the quark phase (stable) and the hadron phase (unstable). At the temperature T=Tcont(ρ)T = T_{\mathrm{cont}}(ρ) the system experiences a continuous transition to the pure chirally symmetric phase.

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