Topological susceptibility, divergent chiral density, and phase diagram of chirally imbalanced QCD medium at finite temperature
Topological susceptibility, divergent chiral density, and phase diagram of chirally imbalanced QCD medium at finite temperature
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有限温度下手性不平衡QCD介质的拓扑磁化率、发散手性密度和相图
DOI：
10.1103/physrevd.102.014031
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发表时间：
2020-04
影响因子：
5
通讯作者：
Lu Zhen-Yan
中科院分区：
文献类型：
--
作者：
Ruggieri Marco;Chernodub Maxim N.;Lu Zhen-Yan
我们发现，非局域双味Nambu-Jona-Lasinio模型预测，随着手性化学势mu(5)调节的热QCD物质的手性不平衡增加，手性和轴对称破缺都会增强。这两个交叉点在mu(5)范围内相当接近，伪临界温度随mu(5)升高。手性夸克化学势的手性和轴向交叉曲率近似重合，kappa(5)近似或等于-0.011。我们指出mu(5)在热力学平衡中的存在与大质量费米子的手性电荷不是诺瑟守恒的事实是不一致的。因此，手性化学势不应被视为在质量理论中设置热力学稳定环境的真正化学势，而应被视为可能需要在紫外域进行重整化的新耦合。来自零点费米子涨落的非重整化手性密度的散度是这一性质的结果。我们提出了一种通过重整化程序来解决这个问题的方法。
We show that the nonlocal two-flavor Nambu-Jona-Lasinio model predicts the enhancement of both chiral and axial symmetry breaking as the chiral imbalance of hot QCD matter, regulated by a chiral chemical potential mu(5), increases. The two crossovers are reasonably close to each other in the range of mu(5) examined here, and the pseudocritical temperatures rise with mu(5). The curvatures of the chiral and axial crossovers for the chiral quark chemical potential approximately coincide and give kappa(5) similar or equal to -0.011. We point out that the presence of mu(5) in thermodynamic equilibrium is inconsistent with the fact that the chiral charge is not a Noether-conserved quantity for massive fermions. The chiral chemical potential should not, therefore, be considered as a true chemical potential that sets a thermodynamically stable environment in the massive theory, but rather as a new coupling that may require a renormalization in the ultraviolet domain. The divergence of an unrenormalized chiral density, coming from zero-point fermionic fluctuations, is a consequence of this property. We propose a solution to this problem via a renormalization procedure.
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