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Perturbatively Improving Regularization-Invariant Momentum Scheme Renormalization Constants

机译:扰动地改善正则化不变动量方案重正化常数

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摘要

The determination of renormalization factors is of crucial importance in lattice QCD. They relate the observables obtained on the lattice to their measured counterparts in the continuum in a suitable renormalization scheme. Therefore, they have to be computed as precisely as possible. A widely used approach is the nonperturbative Rome-Southampton method. It requires, however, a careful treatment of lattice artifacts. In this paper we investigate a method to suppress these artifacts by subtracting one-loop contributions to renormalization factors calculated in lattice perturbation theory. We compare results obtained from a complete one-loop subtraction with those calculated for a subtraction of contributions proportional to the square of the lattice spacing.
机译:重新归一化因子的确定对于点阵QCD至关重要。它们以合适的重归一化方案将在晶格上获得的可观测值与在连续统中测得的对应值相关联。因此,必须尽可能精确地计算它们。一种广泛使用的方法是非摄动罗马-南安普敦方法。但是,这需要仔细处理晶格伪像。在本文中,我们研究了一种方法,该方法通过减去对晶格扰动理论中计算出的重归一化因子的单环贡献来抑制这些伪影。我们比较了从完整的单环减法获得的结果与为与网格间距的平方成比例的贡献相减而计算的结果。

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