标题： 构造Ginsparg-Wilson关系的解 显示英文标题

标题： Constructing Solutions of the Ginsparg-Wilson Relation

摘要： 格点上的双倍分解可以用于构造Ginsparg-Wilson关系的简单解。 格点上的原始狄拉克作用量的双倍被替换为齐次Ginsparg-Wilson方程解中的极点。 我们讨论了不同解的例子，包括Neuberger作用量和Zenkin作用量。 还提出了新的解，包括一个特别简单的解。 最后我们比较了自由费米子情况下不同作用量的傅里叶变换。 显示英文摘要

摘要： The factorization of doubles on the lattice can be applied to construct simple solutions of the Ginsparg-Wilson relation. The doubles of the naive Dirac action on the lattice are replaced by poles in the solution of the homogeneous Ginsparg-Wilson equation. We address different examples of solutions, including the action of Neuberger and the action of Zenkin. New solutions are also proposed, including a particularly simple one. Finally we compare the Fourier transform of the different actions in the case of free fermions.