Work

Comment on “Nonlocal nucleon matrix elements in the rest frame”

Year: 2025

Type: article

Abstract: In a recent paper, “Nonlocal nucleon matrix elements in the rest frame” [1], it was observed that the next-to-leading order calculations of the renormalization factor can describe, to a few percent accuracy, the logarithm of the lattice quantum chromodynamics (QCD) rest frame matrix elements with separations up to distances of 0.6 fm on multiple lattice spacings. We argue that perturbative QCD breaks down at such a distance scale after resumming the associated large logarithms, while the used in the analysis there is not justified in perturbation theory. Besides, we explain the observation in Ref. [1] and demonstrate that the fails to describe the data for z > 0.3 fm , showing an opposite trend. Finally, although Ref. [1] proposes multiplying the by a Gaussian correction model, which is shown to reduce the discrepancy with the data, this does not legitimize the use of perturbative QCD at such distance scales.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/gbnw-9zrt

Authors: Xiang Gao, Jinchen He, Yushan Su, Rui Zhang, Yong Zhao

Institutions: Argonne National Laboratory, University of Maryland, College Park

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: U.S. Department of Energy, Office of Science, Nuclear Physics