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arXiv 1304.8065hep-ph
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Schwinger-Dyson方程的QCD phase diagram

The QCD phase diagram from Schwinger-Dyson Equations

Enif Gutierrez, Aftab Ahmad, Alejandro Ayala, Adnan Bashir, Alfredo Raya

摘要:

研究了量子色动力学(QCD)的相图。为此,我们采用Schwinger-Dyson方程(SDEs)技术,并通过要求与有限温度(T)下夸克-反夸克凝聚体的晶格结果相匹配来构建无限塔方程的截断,零夸克化学势(mu),即晶格计算有望提供可靠结果的区域。我们计算的演变的相图远离T=0的增加值的化学势以下的演变的热容作为T和μ的函数。这个热力学变量的行为清楚地表明,存在一个交叉的mu小于临界值。然而,热容量开发一个奇点附近的亩约0.22 GeV标记的冲击的一阶相变的特征在于存在一个临界点。临界线继续,直到μ约0.53 GeV,其中Tc=0,因此手征对称性最终恢复。

英文摘要:

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 for increasing values of the chemical potential by following the evolution of the heat capacity 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 heat capacity develops a singularity near mu approx 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 approx 0.53 GeV where Tc=0 and thus chiral symmetry is finally restored.

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