A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
复制标题
大动量有效理论中准光前相关性的混合重正化方案
DOI：
10.1016/j.nuclphysb.2021.115311
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发表时间：
2021
影响因子：
2.8
通讯作者：
Zhao Yong
中科院分区：
文献类型：
--
作者：
Ji Xiangdong;Liu Yizhuang;Schafer Andreas;Wang Wei;Yang Yi-Bo;Zhang Jian-Hui;Zhao Yong
在大动量有效理论（LaMET）中，计算部分子物理是从计算格点QCD中动量为Pz的强子的坐标空间-z关联函数h <$（z，a，Pz）开始的。这种相关函数涉及晶格间距a的线性和对数发散，因此需要适当地重整化。我们引入了一个混合重整化过程，以匹配这些晶格相关的连续MS的方案，而不引入额外的非微扰效应在大z。我们分析了O（Λ QCD）模糊性对混合方案中Wilson线自能扣除的影响。为了获得动量空间分布，我们建议外推的晶格数据的渐近Z-区域使用的一般属性的坐标空间的相关性在中等和大的P Z，分别。
In large-momentum effective theory (LaMET), calculating parton physics starts from calculating coordinate-space-z correlation functions h˜(z, a, P z) in a hadron of momentum P z in lattice QCD. Such correlation functions involve both linear and logarithmic divergences in lattice spacing a, and thus need to be properly renormalized. We introduce a hybrid renormalization procedure to match these lattice correlations to those in the continuum MS‾ scheme, without introducing extra non-perturbative effects at large z. We analyze the effect of O (Λ QCD) ambiguity in the Wilson line self-energy subtraction involved in this hybrid scheme. To obtain the momentum-space distributions, we recommend to extrapolate the lattice data to the asymptotic z-region using the generic properties of the coordinate space correlations at moderate and large P z, respectively.