Nambu-Jona-Lasinio模型中的轴性对称破缺与手征分离效应
Axial Symmetry Breaking and Chiral Separation Effect in Nambu-Jona-Lasinio Model
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中文总结 AI 辅助
在三味NJL模型中研究手征分离效应与轴性伙伴磁化率劈裂，比较逆磁催化与磁催化耦合，揭示轴性对称性在不同温度或化学势下恢复，并给出与格点QCD定性一致的预测。
中文摘要 AI 辅助
我们在三味Nambu--Jona-Lasinio（NJL）模型中研究了手征分离效应（CSE）以及轴性伙伴磁化率劈裂，为热密磁化物质中的轴性动力学提供了两个互补的方面。我们比较了导致逆磁催化（IMC）的场依赖标量耦合与表现出磁催化（MC）的常数耦合。在弱场极限下，CSE电导率在低温下受到抑制，并随着温度升高而趋近其手征极限值。其磁场依赖性在IMC和MC两种情形下是相反的。另一方面，磁化率劈裂$\Delta_A = \chi_{\pi^0} - \chi_{\delta^0}$和$\Delta\chi = \chi_{\pi^0} -\chi_{\sigma_l}$在高温或高密度下受到抑制，反映了轴性对称性的显著恢复。它们的差异在交叉或一级相变附近出现显著峰值，这意味着$U(1)_A^{(0)}$和$U(1)_A^{(3)}$对称性在不同的温度或化学势下恢复。在零化学势下，弱场CSE和IMC磁化率劈裂均与格点QCD计算结果定性一致。我们还提供了有限密度下磁化率劈裂的模型预测。
英文摘要
We investigate the chiral separation effect (CSE) and the axial-partner susceptibility splittings within the three-flavor Nambu--Jona-Lasinio (NJL) model, providing two complementary aspects of axial dynamics in hot and dense magnetized matter. We compare a field-dependent scalar coupling, which leads to inverse magnetic catalysis (IMC), with a constant coupling, which exhibits magnetic catalysis (MC). In the weak-field limit, the CSE conductivity is suppressed at low temperature and approaches its chiral-limit value as the temperature increases. Its magnetic-field dependence is reversed between the IMC and MC scenarios. On the other hand, the susceptibility splittings $Δ_A = χ_{π^0} - χ_{δ^0}$ and $Δχ= χ_{π^0} -χ_{σ_l}$ are suppressed at high temperature or density, reflecting the substantial restoration of axial symmetries. Their difference develops a pronounced peak near the cross-over or first-order transition, implying that the $U(1)_A^{(0)}$ and $U(1)_A^{(3)}$ symmetries are restored at different temperatures or chemical potentials. Both the weak-field CSE and the IMC susceptibility splittings at vanishing chemical potential agree qualitatively with lattice-QCD calculations. We also provide model predictions for the susceptibility splittings at finite density.
发表机构
- Central China Normal University（华中师范大学）
- Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University（复旦大学理论核物理上海研究中心，国家自然科学基金委员会）
- Guilin Medical University（桂林医学院）
- Xi’an Jiaotong University（西安交通大学）
机构由 AI 辅助整理，请以论文原文为准。
