Work

Regularization prescription for the mixing between nonlocal gluon and quark operators

Year: 2026

Type: article

Abstract: It is well known that in the study of mixing between nonlocal gluon and quark bilinear operators there exists an ambiguity when relating coordinate space and momentum space results. In this work, we show that this ambiguity is due to the lack of a proper regularization prescription of the singularity that arises when the separation between the gluon/quark fields approaches zero. We then demonstrate that dimensional regularization resolves this issue and yields consistent results in both coordinate and momentum space. This prescription is also compatible with lattice extractions of parton distributions from nonlocal operators.

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

DOI: 10.1103/scjd-q4b6

Authors: Yao Ji, Zhuoyi Pang, Fei Yao, Jian-Hui Zhang

Institutions: Chinese University of Hong Kong, National Centre for Nuclear Research, Brookhaven National Laboratory

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