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arXiv 2209.01255hep-thgr-qc
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BFSS模型中的自发对称性破缺:用高斯展开法的分析结果

Spontaneous symmetry breaking in the BFSS model: Analytical results using the Gaussian expansion method

Suddhasattwa Brahma, Robert Brandenberger, Samuel Laliberte

摘要:

我们将高斯展开法应用于高温极限下的BFSS矩阵模型。当(欧几里德)BFSS作用量关于高斯模展开时,它表明SO(9)对称性自发破缺,类似于IKKT模型中发生的情况。自由能的分析,使用的间隙方程组,确定高斯项的宽度,是足以表明,这种对称性破缺发生时,只有费米子项包括在内,并在玻色子的情况下缺席。

英文摘要:

We apply the Gaussian expansion method to the BFSS matrix model in the high temperature limit. When the (Euclidean) BFSS action is expanded about a Gaussian ansatz, it is shown that the SO(9) symmetry is spontaneously broken, analogous to what happens in the IKKT model. The analysis of the free energy, using the set of gap equations which determines the width of the Gaussian terms, is sufficient to show that this symmetry breaking happens only when the fermionic terms are included and is absent in the bosonic case.

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