Topological zero modes at nonzero chemical potential
Topological zero modes at nonzero chemical potential
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非零化学势的拓扑零模式
DOI：
10.1103/physrevd.88.054501
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发表时间：
2013
影响因子：
5
通讯作者：
T. Sulejmanpasic
中科院分区：
文献类型：
--
作者：
F. Bruckmann;R. Rodl;T. Sulejmanpasic
给出了非零化学势下拓扑SU(2)规范背景下狄拉克算符零模的解析解和数值解。从虚化学势到实化学势的延拓被用来系统地推导出任意完整条件下卡介子的解析零模，特别是瞬子和双子(磁单极子)的极限。对于后者，还探索了一种球面ANSATZ。所有的零模在核心处都有较强的峰值，在密度上都有负值。我们讨论了相应的重叠矩阵元的结构。对于晶格上的离散化的卡诺子，我们考虑了交错算符，并证明了它确实具有(四重态准)零模，其本征模与连续谱轮廓非常吻合，对于非零化学势也是如此。
We give analytical and numerical solutions for the zero modes of the Dirac operator in topological SU(2) gauge backgrounds at nonzero chemical potential. Continuation from imaginary to real chemical potential is used to systematically derive analytical zero modes for calorons at arbitrary holonomy and, in particular limits, for instantons and dyons (magnetic monopoles). For the latter a spherical ansatz is explored as well. All the zero mode exhibit stronger peaks at the core and negative regions in their densities. We discuss the structure of the corresponding overlap matrix elements. For discretized calorons on the lattice we consider the staggered operator and show that it does possess (quartet quasi-)zero modes, whose eigenmodes agree very well with the continuum profiles, also for nonzero chemical potential.