我们在包含$N_f=2$种味和$N_c=3$种色的Nambu Jona-Lasinio模型（南部-约纳-拉西尼奥模型）框架下，研究了致密、磁化且旋转的夸克物质的手征对称性恢复/破缺问题。施加谱边界条件以及能级正定性条件后，磁场与旋转场之间会产生关联，使得强磁化等离子体无法再发生旋转。我们在零温和有限温度下求解了能隙方程。在有限温度和重子化学势$μ_B$条件下，我们绘制了不同情形下的相图$T_c(μ_B)$和$T_c(RΩ)$。结果显示，我们始终观测到逆旋转催化效应，即$T_c$会随$RΩ$的增大而降低。但磁场在相图中的作用结构更为复杂：对于慢旋转等离子体，我们发现$T_c$随$eB$的增大而降低；而在快旋转等离子体中，$T_c$随$eB$的增大而升高。此外，我们通过同时求解有效作用量关于序参量的一阶和二阶导数方程，精确定位了临界终点（Critical End Point）的位置。
英文摘要：
We investigate the chiral symmetry restoration/breaking of a dense, magnetized and rotating quark matter within the Nambu Jona-Lasinio model including $N_f=2$ and $N_c=3$ numbers of flavors and colors, respectively. Imposing the spectral boundary conditions, as well as the positiveness of energy levels, lead to a correlation between the magnetic and rotation fields such that strongly magnetized plasma can not rotate anymore. We solve the gap equation at zero and finite temperature. At finite temperature and baryon chemical potential $μ_B$, we sketch the phase diagrams $T_c(μ_B)$ and $T_c(RΩ)$ in different cases. As a result, we always observe inverse-rotational catalysis mean to decrease $T_c$ by increasing $RΩ$. But the magnetic field has a more complex structure in the phase diagram. For slowly rotating plasma, we find that $T_c$ decreases by increasing $eB$, while in the fast rotating plasma we see that $T_c$ increases by increasing $eB$. Also, we locate exactly the position of Critical End Point by solving the equations of first and second derivatives of effective action with respect to the order parameters, simultaneously.
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The curved spacetime surrounding a rotating black hole dramatically alters the structure of nearby electromagnetic fields. The Wald field which is an asymptotically uniform magnetic field aligned with the angular momentum of the hole provides a convenient starting point to analyze the effects of radiative corrections on electrodynamics in curved spacetime. Since the curvature of the spacetime is small on the scale of the electron's Compton wavelength, the tools of quantum field theory in flat spacetime are reliable and show that a rotating black hole immersed in a magnetic field approaching th…
