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HOW TO COMPUTE ONE-LOOP FEYNMAN DIAGRAMS IN LATTICE QCD WITH WILSON FERMIONS

机译:如何使用WILSON FERMIONS在格子QCD中计算单圈费恩曼图

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摘要

We describe an algebraic algorithm which allows to express every one-loop lattice integral with gluon or Wilson-fermion propagators in terms of a small number of basic constants which can be computed with arbitrary high precision. Although the presentation is restricted to four dimensions the technique can be generalized to every space dimension. We also give a method to express the lattice free propagator for Wilson fermions in coordinate space as a linear function of its values in eight points near the origin. This is an essential step in order to apply the recent methods of Luscher and Weisz to higher-loop integrals with fermions. [References: 5]
机译:我们描述了一种代数算法,该算法可以用少量基本常数(可以任意高精度计算)来表示与胶子或威尔逊费米子传播子的每个单环点阵积分。尽管表示仅限于四个维度,但该技术可以推广到每个空间维度。我们还给出了一种方法,用于将坐标空间中威尔逊费米子的无晶格繁殖体表示为其在原点附近的八个点中其值的线性函数。为了将Luscher和Weisz的最新方法应用于带有费米子的高环积分,这是必不可少的步骤。 [参考:5]

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