发表机构
Department of Physics, Keio University（庆应义塾大学物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究双味色超导相中的二次配对，发现同手征性J^P=1^+凝聚体实现自旋相对论超流，具有点节点和Berry项，并通过Wess-Zumino耦合及BdG味二重态满足反常匹配。
AI 中文摘要
我们研究了双味色超导（2SC）相中的二次配对，其中残余的无能隙夸克在吸引性瞬子诱导相互作用下形成同手征性 $J^P=1^+$ 凝聚体。我们确定了其对称性实现、准粒子结构、反常匹配以及低能有效理论。配对能隙必然具有节点；特别是，复轴向态具有两个点节点，并实现了一种自旋相对论超流。该态保持完整的手征对称性 ${\ m SU}(2)_{\ m L}\ imes{\ m SU}(2)_{\ m R}$，同时破缺修正的重子数对称性 ${\ m U}(1)_{\ ilde{\ m B}}$ 和空间转动，其中绕节点轴的转动与凝聚体相位锁定。这种锁定产生了Berry项、Mermin-Ho关系以及超流声子之外的B型取向Nambu-Goldstone模式。我们还展示了二次配对如何重组反常匹配：微扰混合 ${\ m SU}(2)_{\ m L,R}^2{\ m U}(1)_{\ ilde{\ m B}}$ 反常通过超流声子的Wess-Zumino耦合实现，而 ${\ m SU}(2)_{\ m L}$ 和 ${\ m SU}(2)_{\ m R}$ Witten反常由点节点Bogoliubov-de Gennes味二重态承载。所得理论为稠密QCD中自旋相对论超流提供了一个具体实现，其节点费米子由反常匹配所要求。
英文摘要
We study secondary pairing in the two-flavor color-superconducting (2SC) phase, where the residual ungapped quarks form a same-chirality $J^P=1^+$ condensate driven by an attractive instanton-induced interaction. We determine its symmetry realization, quasiparticle structure, anomaly matching, and low-energy effective theory. The pairing gap is necessarily nodal; in particular, the complex axial state has two point nodes and realizes a spinful relativistic superfluid. This state preserves the full chiral symmetry ${\rm SU}(2)_{\rm L}\times{\rm SU}(2)_{\rm R}$ while breaking the modified baryon-number symmetry ${\rm U}(1)_{\tilde{\rm B}}$ and spatial rotations, with rotations about the nodal axis locked to the condensate phase. This locking gives rise to a Berry term, the Mermin-Ho relation, and a type-B orientational Nambu-Goldstone mode in addition to the superfluid phonon. We also show how anomaly matching is reorganized by secondary pairing: the perturbative mixed ${\rm SU}(2)_{\rm L,R}^2{\rm U}(1)_{\tilde{\rm B}}$ anomaly is realized by a Wess-Zumino coupling of the superfluid phonon, whereas the ${\rm SU}(2)_{\rm L}$ and ${\rm SU}(2)_{\rm R}$ Witten anomalies are carried by the point-node Bogoliubov-de Gennes flavor doublets. The resulting theory provides a concrete dense-QCD realization of a spinful relativistic superfluid with nodal fermions required by anomaly matching.
Comments6 pages
