The QCD phase diagram from Schwinger-Dyson equations

被引:25
作者
Gutierrez, Enif [1 ,5 ]
Ahmad, Aftab [1 ,2 ]
Ayala, Alejandro [3 ]
Bashir, Adnan [1 ]
Raya, Alfredo [1 ,4 ]
机构
[1] Univ Michoacana, Inst Fis & Matemat, Morelia 58040, Michoacan, Mexico
[2] Gomal Univ, Dept Phys, D I Khan 29220, Kpk, Pakistan
[3] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico
[4] Pontificia Univ Catolica Chile, Inst Fis, Santiago 22, Chile
[5] Inst Tecnol Morelia, Dept Ciencias Basicas, Morelia 58120, Michoacan, Mexico
关键词
Schwinger-Dyson equations; QCD phase diagram; confinement and deconfinement; chiral symmetry; chiral condensate; FINITE-TEMPERATURE; CRITICAL-POINT; DENSITY; RESTORATION; TRANSITIONS; ORDER;
D O I
10.1088/0954-3899/41/7/075002
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We study the phase diagram of quantum chromodynamics (QCD). For this purpose we employ the Schwinger-Dyson equations (SDEs) technique and construct a truncation of the infinite tower of equations by demanding a matching with the lattice results for the quark-anti-quark condensate at finite temperature (T), for zero quark chemical potential (mu), that is, the region where lattice calculations are expected to provide reliable results. We compute the evolution of the phase diagram away from T = 0. To chart the chiral symmetry restoration transition, we follow the evolution of the derivative of the condensate with respect to the temperature as a function of T and mu. The behavior of this thermodynamic variable clearly demonstrates the existence of a cross-over for mu less than a critical value. However, the derivative of the condensate with respect to the temperature develops a singularity near mu approximate to 0.22 GeV marking the onslaught of a first order phase transition characterized by the existence of a critical point. The critical line continues until mu approximate to 0.44 GeV where T-c = 0 and thus chiral symmetry is finally restored. For the deconfinement transition we look for the violation of the axiom of reflection positivity in the quark propagator. The critical end point appears to be the same as observed for the transition to chirally symmetric phase. However, near T = 0 axis, due to lack of data points, we are unable to claim against coincidental chiral symmetry restoration and deconfinement transitions along that axis.
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页数:10
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