论文标题
大$ n_c $的关键端点的命运
The fate of the critical endpoint at large $N_c$
论文作者
论文摘要
QCD的相图通过多种颜色$ N_C $在Polyakov Loop Quark-Meson手性模型中进行了研究。特别是，我们的注意力集中在临界点：$ n_c = 3 $的临界点向$μ_q$ - 轴移动，并在颜色数量增加后立即消失。然而，沿温度轴$ n_c = 53 $出现了一个明显的临界点，并且在进一步增加$ n_c $时向有限密度移动。因此，大$ N_C $的相图看起来很镜头W.R.T. $ n_c = 3 $结果，在左上方的第一阶转换，在$（μ_q，t）$ - 平面的向下区域中的跨界转换。还以$ n_c $的依赖性评估了压力，显示了$ n_c^0 $在受约束和chirally损坏的相位中的缩放率，并且在否定的一个阶段和$ n_c^2 $中。此外，确认了在较大密度和中等温度下的手性对称但限制的“夸克相相”，其压力与$ N_C $成正比的压力。
The phase diagram of QCD is investigated by varying number of colors $N_c$ within a Polyakov loop quark-meson chiral model. In particular, our attention is focused on the critical point(s): the critical point present for $N_c=3$ moves toward the $μ_q$-axis and disappears as soon as the number of color is increased. Yet, a distinct critical point emerges along the temperature axis for $N_c = 53$ and moves toward finite density when increasing $N_c$ further. Thus, the phase diagram at large $N_c$ looks specular w.r.t. the $N_c = 3$ results, with the first order transition in the upper-left and crossover in the down-right regions of the the $(μ_q,T)$-plane. The pressure is also evaluated in dependence of $N_c$, showing a scaling with $N_c^0$ in the confined and chirally broken phase and with $N_c^2$ in the deconfined one. Moreover, the presence of a chirally symmetric but confined `quarkyonic phase' at large density and moderate temperature with a pressure proportional to $N_c$ is confirmed.
