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arXiv 2209.09568hep-ph
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关键终点在大$N_c$中的命运

The fate of the critical endpoint at large $N_c$

Péter Kovács, Győző Kovács, Francesco Giacosa

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19 pages, 15 figures
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摘要：

在Polyakov圈夸克-介子手征模型中，通过改变色数$N_c$研究了QCD的相图。特别地，我们的注意力集中在临界点上：$N_c=3$的临界点向$μ_q$轴移动，并且一旦颜色数量增加就消失。然而，一个明显的临界点出现沿温度轴为$N_c = 53$和移动到有限密度时，进一步增加$N_c$。因此，在大的$N_c$处的相图看起来是镜面反射的。结果是$N_c = 3$，在$(μ_q,T)$平面的左上区域中具有一阶跃迁，在右下区域中具有交叉。的压力也进行了评估，在$N_c$的依赖性，显示出缩放与$N_c^0$在限制和手性破碎相和与$N_c^2$在deconfined一个。此外，手征对称的存在下，但限制的“夸克相”在大密度和中等温度与压力成正比的$N_c$被证实。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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