标题： 走向费米子离散化的代数方法 显示英文标题

标题： Towards an algebraic approach to the discretisation of fermions

摘要： 将微分几何的离散化方案应用于构建晶格作用量的问题中，由此得到了naive作用量和staggered作用量。 研究发现，在确定场空间的假设后，相应的晶格作用量即可获得。 概述了规范变换过程，并讨论了该方法在晶格扭曲超对称中的适用性。 对于未插入晶格投影算符的理论，对QED轴向反常作了一些评论。 显示英文摘要

摘要： A discretisation scheme for differential geometry is applied to the problem of constructing lattice actions, the naive and staggered action are thus derived. It is found that after specifying an ansatz for the space of fields, the corresponding lattice action is obtained. The gauging procedure, and the applicability of the method to twisted super-symmetry on a lattice is outlined. Some comments on the QED axial anomaly are made, for the theory in which the lattice projection operator is not inserted.