论文标题
$ \ mathbb {z} _n $ su中的deconfinement真空结构（$ n $）yang-mills理论：nambu-goldstone模式的出现在很大程度上 - $ n $限制
$\mathbb{Z}_N$ structure of deconfinement vacuum in SU($N$) Yang-Mills theory: emergence of Nambu-Goldstone mode in large-$N$ limit
论文作者
论文摘要
使用Polyakov-loop有效动作，我们研究了SU（$ n $）Yang-Mills Theory的自发损坏的$ \ mathbb {z} _n $对称的结构，该结构具有有限的$ n $。首先，我们检查了$ \ mathbb {z} _n $ - 折叠真空周围的polyakov-loop波动，并计算其相变的空间相关性。我们表明，Polyakov Loop的相变量在很大程度上成为NAMBU-GOLDSTONE模式。其次，我们估计了夸克 - 杜松等离子体的有限体积域中的全球真空到效率转变率。根据我们的估计，我们声明存在一些阈值量，一个比稳定的域更大，反之亦然。将阈值识别为稳定中心域体积的下限，我们找到了中心域的典型体积量表。
Using the Polyakov-loop effective action, we investigate the structure of spontaneously broken $\mathbb{Z}_N$ symmetry in the deconfinement vacuum in the SU($N$) Yang-Mills theory with finite $N$. First, we examine the Polyakov-loop fluctuation around a $\mathbb{Z}_N$-broken vacuum and calculate the spatial correlation of its phase variable. We show that the phase variable of the Polyakov loop becomes a Nambu-Goldstone mode in the large-$N$ limit. Second, we estimate the global vacuum-to-vacuum transition rate in a finite-volume domain of the quark-gluon plasma. Based on our estimation, we state that some threshold volume exists, a domain larger than which is stable, and vice versa. Identifying the threshold as the lower bound of a stable center domain volume, we find the typical volume scale of center domains.
