标题： 大N极限下的多朗道环模型：关联函数和筛选质量 显示英文标题

标题： The Polyakov loop models in the large N limit: Correlation function and screening masses

摘要： 我们研究了有限重子化学势下Polyakov环模型的't Hooft-Veneziano极限。利用我们之前发展出的方法，我们计算了Polyakov环的二点和$N$点关联函数。这使得在禁闭相中计算各种势以及在禁闭区域外推导屏蔽质量成为可能。特别是，在某些参数范围内，我们确定了存在复数质量和关联的振荡衰减。此外，我们证明了在禁闭相中计算$N$点关联函数可以归结为几何中位问题。这导致了重子势的禁闭相中存在一个类似于$Y$定律的大规模$N$定律。 显示英文摘要

摘要： We explore the 't Hooft-Veneziano limit of the Polyakov loop models at finite baryon chemical potential. Using methods developed by us earlier we calculate the two- and $N$-point correlation functions of the Polyakov loops. This gives a possibility to compute the various potentials in the confinement phase and to derive the screening masses outside the confinement region. In particular, we establish the existence of complex masses and an oscillating decay of correlations in a certain range of parameters. Furthermore, it is shown that the calculation of the $N$-point correlation function in the confinement phase reduces to the geometric median problem. This leads to a large $N$ analog of the $Y$ law for the baryon potential.