A novel method for nonperturbative renormalization of lattice operators isintroduced, which lends itself to the calculation of renormalization factorsfor nonsinglet as well as singlet operators. The method is based on theFeynman-Hellmann relation, and involves computing two-point correlators in thepresence of generalized background fields arising from introducing additionaloperators into the action. As a first application, and test of the method, wecompute the renormalization factors of the axial vector current $A_\mu$ and thescalar density $S$ for both nonsinglet and singlet operators for $N_f=3$flavors of SLiNC fermions. For nonsinglet operators, where a meaningfulcomparison is possible, perfect agreement with recent calculations usingstandard three-point function techniques is found.
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机译：提出了一种新的格算子非扰动重整化方法，适用于非单重算子和单重算子重整化因子的计算。该方法基于Feynman-Hellmann关系，并且涉及在将额外的运算符引入动作中而产生的广义背景场中，计算两点相关器。作为第一个应用程序以及该方法的测试，我们针对SLiNC费米子$ N_f = 3 $的非单重和单重算子计算了轴向矢量电流$ A_ \ mu $和标量密度$ S $的重归一化因子。对于可能进行有意义比较的非单一算子，发现与使用标准三点函数技术的最新计算完全吻合。
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