论文标题

手性随机矩阵理论,用于单味的旋转一台库珀配对

Chiral random matrix theory for single-flavor spin-one Cooper pairing

论文作者

Kanazawa, Takuya

论文摘要

我们提出了一种新的非热性手性随机矩阵模型,该模型描述了夸克的单品味旋转曲线配对。 For three colors the model shows spontaneous breaking of color $\mathrm{SU}(3)_C$ and spin $\mathrm{SO}(3)_J$ symmetries down to the diagonal $\mathrm{SO}(3)_{C+J}$ subgroup, in striking analogy to the color-spin locked phase of one-flavor QCD at high density.对于两种颜色,颜色单旋转旋转的diquarks凝结和触发对称性破坏$ \ mathrm {u}(1)\ times \ times \ mathrm {so}(3)_j \ to \ soyrm {so}(so}(so})(2)_j $。在这两种情况下,都严格采取微观限制,并得出了Nambu-Goldstone模式的有效理论。

We propose a new non-Hermitian chiral random matrix model that describes single-flavor spin-one Cooper pairing of quarks. For three colors the model shows spontaneous breaking of color $\mathrm{SU}(3)_C$ and spin $\mathrm{SO}(3)_J$ symmetries down to the diagonal $\mathrm{SO}(3)_{C+J}$ subgroup, in striking analogy to the color-spin locked phase of one-flavor QCD at high density. For two colors, color-singlet spin-one diquarks condense and trigger symmetry breaking $\mathrm{U}(1) \times \mathrm{SO}(3)_J \to \mathrm{SO}(2)_J$. In both cases the microscopic large-$N$ limit is rigorously taken and the effective theory of Nambu-Goldstone modes is derived.

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