Landau levels in QCD
Landau levels in QCD
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DOI：
10.1103/physrevd.96.074506
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发表时间：
2017-05
影响因子：
5
通讯作者：
F. Bruckmann;G. Endrődi;M. Giordano;S. Katz;T. Kovács;F. Pittler;Jacob Wellnhofer
中科院分区：
文献类型：
--
作者：
F. Bruckmann;G. Endrődi;M. Giordano;S. Katz;T. Kovács;F. Pittler;Jacob Wellnhofer
基于使用交错夸克的第一原理晶格模拟，我们提出了非零背景磁场的全 QCD 狄拉克本征模的朗道能级结构的第一个证据。我们的方法涉及二维最低朗道能级模式的识别，其中拓扑论证确保这些模式与能量更高的状态清晰分离，并在这些二维状态的基础上扩展完整的四维模式。在此基础上我们评估了各种费米子可观测量，包括夸克凝聚和自旋极化，以找出最低朗道能级对它们的贡献有多大。这些结果可以更深入地了解背景磁场中夸克和胶子的动力学，并且可以直接与采用最低朗道能级近似的 QCD 低能模型进行比较。
We present first evidence for the Landau level structure of Dirac eigenmodes in full QCD for nonzero background magnetic fields, based on first principles lattice simulations using staggered quarks. Our approach involves the identification of the lowest Landau level modes in two dimensions, where topological arguments ensure a clear separation of these modes from energetically higher states, and an expansion of the full four-dimensional modes in the basis of these two-dimensional states. We evaluate various fermionic observables including the quark condensate and the spin polarization in this basis to find how much the lowest Landau level contributes to them. The results allow for a deeper insight into the dynamics of quarks and gluons in background magnetic fields and may be directly compared to low-energy models of QCD employing the lowest Landau level approximation.