On the power divergence in quasi gluon distribution function

• DOI: 10.1007/jhep05(2018)142
• Publication Date: 2018-05-24T09:30:20Z
• Authors: Wei Wang; Shuai Zhao
• Keywords: Nuclear Theory; High Energy Physics - Lattice (hep-lat); FOS: Physical sciences; Lattice QCD; QC770-798; 01 natural sciences; Nuclear Theory (nucl-th); High Energy Physics - Phenomenology; High Energy Physics - Lattice; High Energy Physics - Phenomenology (hep-ph); Nuclear and particle physics. Atomic energy. Radioactivity; Perturbative QCD; 0103 physical sciences

Abstract

Recent perturbative calculation of quasi gluon distribution function at one-loop level shows the existence of extra linear ultraviolet divergences in the cut-off scheme. We employ the auxiliary field approach, and study the renormalization of gluon operators. The non-local gluon operator can mix with new operators under renormalization, and the linear divergences in quasi distribution function can be into the newly introduced operators. After including the mixing, we find the improved quasi gluon distribution functions contain only logarithmic divergences, and thus can be used to extract the gluon distribution in large momentum effective theory.