论文标题

了解$ {\ cal n} = 4 $超对称的杨矿物学热力学的最新进展

Some recent advances in the understanding of ${\cal N}=4$ supersymmetric Yang-Mills thermodynamics

论文作者

Tantary, Ubaid, Du, Qianqian, Strickland, Michael

论文摘要

在Maldacena提出了ADS背景上的弦理论与Symery的大N极限之间的双重性之后,对超对称阳米尔的热力学的兴趣开始。研究$ {\ cal n} = 4 $的四个维度超对称阳米的热能的动机之一(sym $ _ {4,4} $)是,在高温下,该理论的弱耦合极限与高温量子动力学(QCD)具有许多相似之处。在此程序的贡献中,我们回顾了$ {\ cal n}重新摄取的摄取自由能的最新计算,在有限的化学电位和零化学势下,在't HOOFT耦合$λ$的$λ$中,在四个时空维度中的超对称性Yang-Mills。我们将最终结果与在弱和强耦合极限中获得的先前结果进行了比较,并构建了广义的padé近似值,该近似值在弱耦合结果与大$ N_C $ stront耦合结果之间进行了插值。

The interest in the thermodynamics of supersymmetric Yang-Mills started after Maldacena proposed the duality between string theory on AdS backgrounds and the large-N limit of SYM theories. One of the motivations to study the thermal properties of ${\cal N}=4$ supersymmetric Yang-Mills in four dimensions (SYM$_{4,4}$) is that at high temperatures, the weak-coupling limit of this theory has many similarities with high temperature quantum chromodynamics (QCD). In this proceedings contribution, we review recent calculations of the resummed perturbative free energy of ${\cal N}=4$ supersymmetric Yang-Mills in four spacetime dimensions through second order in the 't Hooft coupling $λ$ at finite temperature and zero chemical potential. We compare our final result with prior results obtained in the weak and strong-coupling limits and construct a generalized Padé approximant that interpolates between the weak-coupling result and the large-$N_c$ strong-coupling result.

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