标题： 晶格上的手征费米子 显示英文标题

标题： Chiral fermions on the lattice

摘要： 我们讨论了在偶数维晶格上放置手性费米子的拓扑障碍。这一设定包括Ginsparg-Wilson费米子，但更为一般化。我们证明了一个定理，该定理将总的螺旋性与手性投影算符的广义缠绕数之差联系起来。对于奇数个外尔费米子而言，这意味着粒子和反粒子生活在拓扑不同的空间中。 显示英文摘要

摘要： We discuss topological obstructions to putting chiral fermions on an even dimensional lattice. The setting includes Ginsparg-Wilson fermions, but is more general. We prove a theorem which relates the total chirality to the difference of generalised winding numbers of chiral projection operators. For an odd number of Weyl fermions this implies that particles and anti-particles live in topologically different spaces.