大N连续相变的研究进展
A survey of large N continuum phase transitions
摘要：
这次演讲的主要焦点是连续环面上的大N量子色动力学物理。将讨论与U（1）对称性破缺有关的一系列相变。连续威尔逊圈作为其面积的函数，将讨论其普适性和相关的双标度极限。介绍了扭曲江口河的一些最新进展。规范场拓扑和$θ$ vacuua也在大N规范理论的背景下进行了讨论。将二维大N主手征模型中的相变与大$N$规范理论中的相变进行了比较。最后，连接到弦论和引力的一些主题进行了简要描述。
英文摘要：
The main focus of this talk is the physics of large N QCD on a continuum torus. A cascade of phase transitions associated with the breaking of U(1) symmetries will be discussed. The continuum Wilson loop as a function of its area will be discussed along with its universality properties and the associated double scaling limit. Some recent progress in twisted Eguchi-Kawai is presented. Gauge field topology and $θ$ vacuua are also discussed in the context of large N gauge theories. Phase transitions in 2D large N principal chiral models are compared with similar transitions in large $N$ gauge theories. Finally, connections to some topics in string theory and gravity are briefly described.
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