标题： 一个新的关于费米子加倍问题的建议。 二. 改进有限晶格的算符 显示英文标题

标题： A new proposal for the fermion doubling problem. II. Improving the operators for finite lattices

摘要： 在之前的一篇文章中，我展示了如何以简单闭合形式得到无限晶格的理想的SLAC一阶导数和二阶导数算符的位置空间表达式，并且以随机方式非常高效地实现它们，用于有限晶格的实际计算。 在这第二篇文章中，我展示了如何通过对系数进行小调整来消除由于将这些算符截断到有限晶格而引入的小（1/N阶）误差，而且不会产生任何额外的计算成本。 这些结果的推导同样是以一种简单、易于理解的方式呈现的。 显示英文摘要

摘要： In a previous paper I showed how the ideal SLAC derivative and second-derivative operators for an infinite lattice can be obtained in simple closed form in position space, and implemented very efficiently in a stochastic fashion for practical calculations on finite lattices. In this second paper I show how the small (order 1/N) errors introduced by truncating the operators to a finite lattice may be removed by a small adjustment of coefficients, without incurring any additional computational cost. The derivation of these results is again presented in a simple, pedagogical fashion.