标题： 关于格点单极子的费米子符号 显示英文标题

标题： On the fermionic signature of the lattice monopoles

摘要： 我们考虑在欧几里得时空中的静态阿贝尔单极子场中的费米子，考虑到对格点的应用。存在无限多的解描述了S波费米子，并由虚频率i\omega 标记。著名的Jackiw和Rebbi零模对应于\omega=0. The ，这种模式的存在是单极子和无质量费米子存在下真空不稳定的体现。在闵可夫斯基空间中，相应的现象是众所周知的，是磁催化理论的基石。我们讨论对现象学的可能影响。 显示英文摘要

摘要： We consider fermions in the field of a static Abelian monopole in the Euclidean space time, having in mind applications to the lattice. There exists an infinite number of solutions describing the S-wave fermions and labeled by an imaginary frequency i\omega. The well known zero mode of Jackiw and Rebbi corresponds to \omega=0. The existence of such modes is a manifestation of instability of the vacuum in the presence of the monopoles and massless fermions. In the Minkowski space the corresponding phenomenon is well known and is a cornerstone of the theory of the magnetic catalysis. We discuss possible implications for the phenomenology.