论文标题

玻色子BMN矩阵模型的非扰动相图

The nonperturbative phase diagram of the bosonic BMN matrix model

论文作者

Kováčik, Samuel, O'Connor, Denjoe, Asano, Yuhma

论文摘要

我们研究了BOSONION BMN模型的热相变,该模型是BFSS模型的玻色粒部分的质量变形版。我们的结果连接了由骨气BFSS模型描述的相图的无质量区域与大质量区域,该区域在分析上可以解决。我们观察到,在矩阵尺寸$ n $的有限值下,关键区域在较小的温度范围内涂抹。该型号具有一个临界温度,这是有限$ n $的两个明显过渡的大$ n $限制。我们强调了有限$ n $校正在限制阶段所起的重要作用,并通过对非互动高斯模型进行了新的处理来说明这一点。

We study the thermal phase transition of the bosonic BMN model which is a mass deformed version of the bosonic part of the BFSS model. Our results connect the massless region of the phase diagram described by the bosonic BFSS model with the large-mass region, where the model is analytically solvable. We observe that at finite value of the matrix size $N$, the critical region is smeared over a small temperature range. The model has a single critical temperature, which arises as the large $N$ limit of two apparent transitions at finite $N$. We emphasise the vital role played by finite $N$ corrections in the confined phase and illustrate this with a novel treatment of the noninteracting Gaussian model.

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