论文标题
BFSS模型中的自发对称性破坏:使用高斯扩展方法的分析结果
Spontaneous symmetry breaking in the BFSS model: Analytical results using the Gaussian expansion method
论文作者
论文摘要
我们将高斯膨胀方法应用于高温极限的BFSS矩阵模型。当(Euclidean)BFSS动作扩展到高斯Ansatz上时,表明SO(9)对称性是自发折断的,类似于IKKT模型中发生的情况。使用确定高斯项宽度的一组间隙方程的自由能的分析足以证明这种对称性破坏仅在包括费米子项时才发生,并且在骨气案中不存在。
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.