标题： 卢舍尔费米子方法及其扩展的系统误差 显示英文标题

标题： Systematic errors of Lüscher's fermion method and its extensions

摘要： 我们研究了Lüscher对动态Wilson夸克及其一些变体的公式在弱耦合和强耦合极限下的系统误差，以及在有限$\beta$的小配置样本上的情况。 我们确认了截断参数$\varepsilon$存在一个最佳窗口，并且误差随着玻色子家族数量的增加呈指数下降。 一种非厄米变体进一步改进了近似，并允许奇数种味道。 提出了一种简单且经济的Metropolis检验，使该算法精确。 显示英文摘要

摘要： We study the systematic errors of L\"uscher's formulation of dynamical Wilson quarks and some of its variants, in the weak and strong coupling limits, and on a sample of small configurations at finite $\beta$. We confirm the existence of an optimal window in the cutoff parameter $\varepsilon$, and the exponential decrease of the error with the number of boson families. A non-hermitian variant improves the approximation further and allows for an odd number of flavors. A simple and economical Metropolis test is proposed, which makes the algorithm exact.