论文标题
有限密度无质量的两色QCD在Isospin Roberge-Weiss Point和't Hooft异常
Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
论文作者
论文摘要
我们研究了在存在夸克化学势和虚构的同胞化学潜力的情况下，研究两种质量无质质质量QCD（QC $ _2 $ d）的相图。在想象中的isospin化学潜力的特殊点，称为Isospin Roberge-Weiss（RW）点，两种味的QC $ _2 $ d享受$ \ Mathbb {Z} _2 $中心对称性，可用于夸克口味和Polyakov Loop。我们找到了该系统的$ \ mathbb {z} _2 $'t houft异常，其中涉及$ \ mathbb {z} _2 $中心对称性，baryon-number对称性和isospin Mathalal对称性。因此，匹配的异常匹配会约束在Isospin RW点的任何温度和夸克化学势下可能的相图，我们将其与手性有效野外理论和晶格模拟获得的先前结果进行了比较。我们还指出了有趣的相似性，即两种质量的无质量QC $ _2 $ D与$（2+1）$ d量子反铁磁系统。
We study the phase diagram of two-flavor massless two-color QCD (QC$_2$D) under the presence of quark chemical potentials and imaginary isospin chemical potentials. At the special point of the imaginary isospin chemical potential, called the isospin Roberge--Weiss (RW) point, two-flavor QC$_2$D enjoys the $\mathbb{Z}_2$ center symmetry that acts on both quark flavors and the Polyakov loop. We find a $\mathbb{Z}_2$ 't Hooft anomaly of this system, which involves the $\mathbb{Z}_2$ center symmetry, the baryon-number symmetry, and the isospin chiral symmetry. Anomaly matching, therefore, constrains the possible phase diagram at any temperatures and quark chemical potentials at the isospin RW point, and we compare it with previous results obtained by chiral effective field theory and lattice simulations. We also point out an interesting similarity of two-flavor massless QC$_2$D with $(2+1)$d quantum anti-ferromagnetic systems.
