标题： 格点磁单极子的费米子签名 显示英文标题

标题： On the fermionic signature of the lattice monopoles

摘要： 我们考虑了在欧几里得时空中的静态单极子型构型场中的费米子。在所有考虑的情况下，存在无限多个零模态，这些模态由频率 i\omega 标记。这些模式的存在是真空在存在单极子和无质量费米子时不稳定的表现。在闵可夫斯基空间中，相应现象是众所周知的，并且是磁催化理论的基础。此外，Jackiw和Rebbi的著名零模态对应于极限情况，\omega = 0. We 提供论据说明为什么手征凝聚可能与红外团簇中单极子的密度有关。提出了一种可以自然解释脱禁闭和手征转变临界温度相等性的机制。我们讨论了这种机制对格点单极子现象学的可能影响。 显示英文摘要

摘要： We consider fermions in the field of static monopole-like configurations in the Euclidean space-time. In all the cases considered there exists an infinite number of zero modes, labeled by frequency i\omega. 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. Moreover, the well known zero mode of Jackiw and Rebbi corresponds to the limiting case, \omega = 0. We provide arguments why the chiral condensate could be linked to the density of the monopoles in the infrared cluster. A mechanism which can naturally explain the equivalence of the critical temperatures for the deconfinement and chiral transitions, is proposed. We discuss possible implications for the phenomenology of the lattice monopoles.