论文标题
两色QCD中手性分离效应的数值研究有限密度
Numerical Study of the Chiral Separation Effect in Two-Color QCD at Finite Density
论文作者
论文摘要
我们研究具有动力学夸克的有限密度SU（2）晶格量规理论中的手性分离效应（CSE）。我们发现，在高温夸克 - 胶状等离子体相中，自由夸克结果很好地描述了CSE。当人们进入小于一半质量质量的化学电位上的手性对称性损坏时，与自由夸克结果相比，CSE响应逐渐抑制了低温。可以通过假设CSE电流与电荷密度成正比，而不是化学势（如文献中所建议的）（ARXIV：1712.01256，Phys.Rev.D97（2018）085020）来近似描述。我们还为断开的费米度图对CSE的贡献提供了上限，这与我们的统计误差中的零一致，与连接图相比小。我们的结果主要在低密度的SU（2）量规理论的QCD样制度中获得，因此至少也应在质量上适用于QCD。
We study the Chiral Separation Effect (CSE) in finite-density SU(2) lattice gauge theory with dynamical quarks. We find that the CSE is well described by the free quark result in the high-temperature quark-gluon plasma phase. As one enters the confinement regime with broken chiral symmetry at chemical potential smaller than half of the pion mass, the CSE response is gradually suppressed towards low temperatures in comparison to the free quark result. This suppression can be approximately described by assuming that the CSE current is proportional to the charge density, rather than the chemical potential, as suggested in the literature (ArXiv:1712.01256, Phys.Rev.D97(2018)085020). We also provide an upper bound on the contribution of disconnected fermionic diagrams to the CSE, which is consistent with zero within our statistical errors and small compared to that of the connected diagrams. Our results are obtained mainly in the QCD-like regime of SU(2) gauge theory at low densities, and hence should be at least qualitatively applicable to QCD as well.
