2019/12/12 by Yi-Kai Huo, Peng Sun, Huo, Yikai +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1912.06056
openalex publication_date 2019/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Even since the "quasi" parton distribution function (PDF) was proposed under the large-momentum effective theory (LaMET) framework, its renormalization under the lattice regularization has been a central challenge to be solved due to the linear divergence. Thus, we investigate several possible ways to renormalize the quasi-PDF operators in high accuracy with non-perturbative calculation using the quench configurations at several lattice spacings. We find that the ratio of the UV divergences obtained from the Wilson loop and off-shell quasi-PDF operator is not a constant of the Wilson link length z. Although the linear divergence in them may be consistent to each other numerically, there is some additional UV divergence in the quasi-PDF operator.