论文标题
玻色子BMN矩阵模型中的限制过渡
The Confining Transition in the Bosonic BMN Matrix Model
论文作者
论文摘要
我们研究了质量变形的阳米尔斯矩阵模型中的限制/解抗相变，该模型是通过在三个球体上（即Bosonic BMN模型）上的四维最大超对称性阳性理论降低来获得的。 $ 1/d $（带有$ d $矩阵的数量）扩展表明该模型可能具有两个紧密分开的过渡。但是，使用模型的二阶晶格公式，我们发现，对于质量参数的较小值，$μ= 2 $，这两个明显的临界温度在大$ n $处合并，仅留下一个单个弱的一阶相变，与最近的数值结果一致，即$μ= 0 $（Bosonic BFSS模型）。
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).
