论文标题
晶格轴弦上的手性费米子
Chiral fermions on lattice axion strings
论文作者
论文摘要
我将轴承弦构型离散化，耦合到Dirac Fermion，该配置在连续体中结合了无质手性的芯片，当绕组是一种时。我表明，这种配置可以在晶格上调节时托管一种或多种手性费米子。这些手性费米子的实现依赖于与晶格域壁费米子中使用的威尔逊术语相似的威尔逊式术语的存在。随着类似Wilson的参数在问题中的其他质量尺度方面变化，字符串上的手性费米子的数量会跳跃。这些跳跃与沿着弦芯的二维表面的相变相吻合。单环的Feynman图用于证明在该晶格正规化理论中，异常流入如何起作用。
I discretize axion string configuration coupled to a Dirac fermion, which in the continuum binds a massless chiral fermion in its core when the winding is one. I show that such a configuration can host one or more chiral fermions when regulated on the lattice. Realization of these chiral fermions relies on the presence of Wilson-like terms similar to the Wilson term used in lattice domain wall fermions. The number of chiral fermions on the string jumps as the Wilson-like parameter is varied with respect to the other mass scales in the problem. These jumps coincide with phase transitions along a two dimensional surface passing through the string's core. A one-loop Feynman diagram is used to demonstrate how anomaly inflow works in this lattice regularized theory.
