We study the confining/deconfining phase transition in the mass deformed Yang-Mills matrix model which is obtained by the dimensional reduction of the bosonic sector of the four-dimensional maximally supersymmetric Yang-Mills theory compactified on the three sphere, i.e. the bosonic BMN model. The 1 /D (with D the number of matrices) expansion suggests that the model may have two closely separated transitions. However, using a second order lattice formulation of the model we find that for the small value of the mass parameter, μ = 2, those two apparent critical temperatures merge at large N , leaving only a single weakly first-order phase transition, in agreement with recent numerical results for μ = 0 (the bosonic BFSS model).

中文翻译：

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玻色 BMN 矩阵模型中的限制跃迁

我们研究了质量变形Yang-Mills矩阵模型中的约束/去约束相变，该模型是通过将四维极大超对称Yang-Mills理论的玻色扇区降维而获得的，该模型是在三个球面上压缩的，即玻色BMN模型. 1 /D（矩阵数为 D）扩展表明该模型可能有两个紧密分离的转换。然而，使用模型的二阶晶格公式，我们发现对于较小的质量参数值 μ = 2，这两个明显的临界温度在较大的 N 处合并，仅留下一个弱的一阶相变，一致最近的数值结果 μ = 0（玻色 BFSS 模型）。