Using the Linear Sigma Model with quarks to describe the QCD phase diagram and to locate the critical end point

Alejandro Ayala; Jorge David Castaño-Yepes; José Antonio Flores; Saúl Hernández; Luis Hernández

doi:10.1051/epjconf/201817208002

EPJ

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Proceedings

Open Access

EPJ Web of Conferences 172, 08002 (2018)
https://doi.org/10.1051/epjconf/201817208002

Using the Linear Sigma Model with quarks to describe the QCD phase diagram and to locate the critical end point

Alejandro Ayala, Jorge David Castaño-Yepes, José Antonio Flores^*, Saúl Hernández and Luis Hernández

Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, Ciudad de México 04510, México.

^* e-mail: jose.flores@correo.nucleares.unam.mx

Published online: 26 January 2018

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 T_c = 155 MeV and critical baryon chemical potential μ_Bc ≃ 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.

© The Authors, published by EDP Sciences, 2018

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).