手征反常和涡度诱导的大质量费米子赝标凝聚
Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions
摘要：
从均匀电磁场中大质量费米子的维格纳函数出发，导出了反常和涡度诱导的赝标凝聚。它有一个距平项和一个力涡耦合项。作为一种质量效应，赝标凝聚在小质量膨胀时与费米子质量成线性关系。推广到二味和三味情形，由Wigner函数计算了中性π介子和η介子凝聚，得到了中性π介子凝聚的反常部分和力涡部分，其中中性π介子凝聚的反常部分与前面的结果一致.我们还讨论了重离子碰撞中凝聚体的可能观测量，如中性π介子和η介子的集体流动，这些观测量可能受到电磁场和涡度剖面的影响。
英文摘要：
We derive the pseudoscalar condensate induced by anomaly and vorticity from the Wigner function for massive fermions in homogeneous electromagnetic fields. It has an anomaly term and a force-vorticity coupling term. As a mass effect, the pseudoscalar condensate is linearly proportional to the fermion mass in small mass expansion. By a generalization to two-flavor and three-flavor cases, the neutral pion and eta meson condensates are calculated from the Wigner function and have anomaly parts as well as force-vorticity parts, in which the anomaly part of the neutral pion condensate is consistent to the previous result. We also discuss about possible observables of the condensates in heavy ion collisions such as collective flows of neutral pions and eta mesons which may be influenced by the electromagnetic field and vorticity profiles.
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