确定QCD临界点的位置:介子反馈耦合效应
Locating the critical endpoint of QCD: mesonic backcoupling effects
摘要:
我们研究了π介子和σ介子的反耦合在手征序参量和QCD相图上的影响,确定了它们在手征临界端点位置上的影响。为此,我们求解了一组耦合的截断Dyson Schwinger方程的朗道规范夸克和胶子传播与$N_f=2+1$动力学夸克味和明确的反馈耦合介子。从它们的齐次Bethe-Salpeter方程出发,得到了相应的介子束缚态性质和夸克-介子Bethe-Salpeter顶点.我们发现手征恢复效应的π介子和/或Σ介子的回耦和观察(小)移的临界终点向更小的化学势。手性交叉线的曲率减小。我们的结果表明,相图中临界端点的位置主要由QCD的微观自由度决定(与其临界性质相反)。
英文摘要:
We study the effects of pion and sigma meson backcoupling on the chiral order parameters and the QCD phase diagram and determine their effect on the location of the chiral critical endpoint. To this end, we solve a coupled set of truncated Dyson--Schwinger equations for Landau gauge quark and gluon propagators with $N_f=2+1$ dynamical quark flavors and explicitly backcoupled mesons. The corresponding meson bound-state properties and the quark-meson Bethe--Salpeter vertices are obtained from their homogeneous Bethe--Salpeter equation. We find chiral-restoration effects of the pion and/or sigma meson backcoupling and observe a (small) shift of the critical endpoint towards smaller chemical potentials. The curvature of the chiral crossover line decreases. Our results indicate that the location of the critical endpoint in the phase diagram is mainly determined by the microscopic degrees of freedom of QCD (in contrast to its critical properties).
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