论文标题

有限温度下手性不平衡QCD培养基的拓扑敏感性,分歧性手性密度和相图

Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature

论文作者

Ruggieri, Marco, Chernodub, Maxim N., Lu, Zhen-Yan

论文摘要

我们表明,非局部两种味道nambu - jona-lasinio模型预测手性和轴向对称性的破坏会增强,因为热QCD物质的手性失衡,受性质化学势$μ_5$的调节,会增加。这两个跨界车在此处检查的$μ_5$范围内彼此合理地彼此接近,并且伪行为温度以$μ_5$升高。手性夸克化学电位的手性和轴向交叉的曲率大约重合,并给出$κ__5\ simeq -0.011 $。我们指出的是,热力学平衡的存在与大量费米子的手性电荷并不是固定保存的数量。因此,手性化学电位不应被视为在大规模理论中设定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线域中重新归一化的新耦合。 \ corr {来自零点费米子波动的差异的差异是该特性的结果。我们通过重新归一化程序提出了解决此问题的解决方案。

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 $μ_5$, increases. The two crossovers are reasonably close to each other in the range of $μ_5$ examined here and the pseudocritical temperatures rise with $μ_5$. The curvatures of the chiral and axial crossovers for the chiral quark chemical potential approximately coincide and give $κ_5 \simeq - 0.011$. We point out that the presence of $μ_5$ 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 than as a new coupling that may require a renormalization in the ultraviolet domain. The divergence of an unrenormalized chiral density, \corr{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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