对易高斯多矩阵模型中的相变
高能物理 - 理论
2007-07-02 v3
摘要
我们详细分析了在矩阵被约束为对易的大N高斯多矩阵模型中发生的二阶相变。假设在最低质量级至少有四个矩阵，该相变随着矩阵相对质量的变化而发生。我们还讨论了在半径为R的三维球面上紧致化的弱耦合大N 3+1维规范理论的相结构。我们论证了这些理论在高温(T >> 1/R)下可以由高斯多矩阵模型很好地描述，并且在退禁闭标度(T ~ 1/R)与微扰论失效的标度(T ~ 1 / \lambda R，其中\lambda为't Hooft耦合)之间不表现出任何相变。
引用
@article{arxiv.0706.2861,
title = {A phase transition in commuting Gaussian multi-matrix models},
author = {Ofer Aharony and Sean A. Hartnoll},
journal= {arXiv preprint arXiv:0706.2861},
year = {2007}
}
评论
10 pages, 1 figure, latex. v3 (with a new title) corrects the wrong assumption that the dominant phase in gauge theories on S^3 involves commuting matrices, and the wrong conclusion that these theories have high temperature phase transitions; we thank Shiraz Minwalla for pointing this out