论文标题
QCD Kondo效应的随机矩阵模型
Random matrix model for the QCD Kondo effect
论文作者
论文摘要
我们提出了一个新颖的随机矩阵模型，描述了QCD围关系效应。该模型正确地实现了光夸克的手性对称性和$ \ mathrm {su}（2）$重夸克的旋转对称性。我们将矩阵尺寸的$ n $带入$ n $的限制，并表明该型号具有三个阶段：没有手性冷凝物的纯近相阶段，纯粹的手性损坏的相位，没有昆多冷凝水，以及共存阶段。该模型预测，与纯近托相比，在共存相中，近藤凝结物的配对形式发生了显着改变。对于每个阶段，我们严格地得出了nambu-goldstone模式的低能有效理论，并获得了带有外部源的分区函数的紧凑型封闭表达式。我们还将手性化学电位包括在模型中并检查真空结构。
We propose a novel random matrix model that describes the QCD Kondo effect. The model correctly implements both the chiral symmetry of light quarks and the $\mathrm{SU}(2)$ spin symmetry of heavy quarks. We take the large-$N$ limit with $N$ the matrix size and show that the model has three phases: the pure Kondo phase with no chiral condensate, the pure chirally broken phase with no Kondo condensate, and the coexistence phase. The model predicts that the pairing form of the Kondo condensate in the coexistence phase is significantly altered compared to the pure Kondo phase. For each of these phases we rigorously derive the low-energy effective theory of Nambu-Goldstone modes and obtain compact closed expressions for the partition function with external sources. We also include a chiral chemical potential into the model and examine the vacuum structure.
