Abstract
We study the QCD phase diagram using the linear sigma model coupled to quarks. We compute the effective potential at finite temperature and quark chemical potential up to ring diagrams contribution. We show that, provided the values for the pseudo-critical temperature Tc = 155 MeV and critical baryon chemical potential μBc ≃ 1 GeV, together with the vacuum sigma and pion masses. The model couplings can be fixed and that these in turn help to locate the region where the crossover transition line becomes first order.
Highlights
The description of the QCD phase diagram on the T and μ plane reveals profound information for the different phases of strongly interacting matter under extreme conditions such that high temperatures and densities
In this work we used the Linear Sigma Model coupled to quarks (LSMq) to locate the critical end point (CEP)
We study the restoration of the chiral symmetry using an effective model that accounts for the physics of the spontaneous symmetry breaking at finite temperature and density, the linear sigma model
Summary
The description of the QCD phase diagram on the T and μ plane reveals profound information for the different phases of strongly interacting matter under extreme conditions such that high temperatures and densities. Lattice QCD has found values for a crossover transition with a critical temperature Tc ∼ 155 MeV considering 2 + 1 quark flavours Ref. Effective models find that for T ∼ 0 there is a first order phase transition Ref. In this work we used the Linear Sigma Model coupled to quarks (LSMq) to locate the CEP. We organize the content as follows: In Sec. 2, we give an overview of the main properties of LSMq. In Sec. 3, we show the effective potential at high and low-temperature.
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