Ji Xiangdong, Zhang Jian-Hui, Zhao Yong
Tsung-Dao Lee Institute, and College of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, People's Republic of China, and Maryland Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, Maryland 20742, USA.
Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany.
Phys Rev Lett. 2018 Mar 16;120(11):112001. doi: 10.1103/PhysRevLett.120.112001.
In the large-momentum effective field theory approach to parton physics, the matrix elements of nonlocal operators of quark and gluon fields, linked by straight Wilson lines in a spatial direction, are calculated in lattice quantum chromodynamics as a function of hadron momentum. Using the heavy-quark effective theory formalism, we show a multiplicative renormalization of these operators at all orders in perturbation theory, both in dimensional and lattice regularizations. The result provides a theoretical basis for extracting parton properties through properly renormalized observables in Monte Carlo simulations.
在大动量有效场论方法的部分子物理中,夸克和胶子场的非局域算符的矩阵元,通过空间方向上的直威尔逊线相连,在格点量子色动力学中作为强子动量的函数进行计算。利用重夸克有效理论形式,我们展示了这些算符在微扰论的所有阶次下,在维数正规化和格点正规化中都有乘法重整化。该结果为在蒙特卡罗模拟中通过适当重整化的可观测量提取部分子性质提供了理论基础。