论文标题
在所有温度下，有限组对称性的自发断裂
Spontaneous breaking of finite group symmetries at all temperatures
论文作者
论文摘要
我们研究具有有限群对称性的共形场理论与自发对称性断裂（SSB）阶段，这些阶段在所有温度下都持续存在。我们与两个$ λϕ^4 $理论合作，结合了它们的质量术语。选择两个$ λϕ^4 $理论以保留立方对称组或四面体对称组。 $ 4-ε$扩展中的一环计算表明，存在无限的许多固定点可以托管所有温度SSB相。对这些固定点的重新归一化组（RG）稳定性矩阵的分析表明，它们的频谱至少包含三个相关操作员。换句话说，这些固定点是四个智力点。
We study conformal field theories with finite group symmetries with spontaneous symmetry breaking (SSB) phases that persist at all temperatures. We work with two $λϕ^4$ theories coupled through their mass terms. The two $λϕ^4$ theories are chosen to preserve either the cubic symmetry group or the tetrahedral symmetry group. A one-loop calculation in the $4-ε$ expansion shows that there exist infinitely many fixed points that can host an all temperature SSB phase. An analysis of the renormalization group (RG) stability matrix of these fixed points, reveals that their spectrum contains at least three relevant operators. In other words, these fixed points are tetracritical points.
