2021/11/01 by Anatoly Radyushkin, Shuai Zhao · 1 citation
Mathematics · Physics and Astronomy · #Combinatorics #Feynman diagram #Gluon #High-Energy Particle Collisions Research #Lattice (music) #Loop (graph theory) #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Renormalization #hep-lat #hep-ph
paper · pdf · doi:10.1007/jhep12(2021)010
arxiv created 2021/11/04 · openalex publication_date 2021/12/01 · arxiv updated 2021/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
A bstract We present results for one-loop corrections to the recently introduced “gluon condensate” PDF F ( x ). In particular, we give expression for the gg -part of its evolution kernel. To enforce strict compliance with the gauge invariance requirements, we have used on-shell states for external gluons, and have obtained identical results both in Feynman and light-cone gauges. No “zero mode” δ ( x ) terms were found for the twist-4 gluon PDF F ( x ). However a q 2 δ ( x ) term was found for the ξ = 0 GPD F ( x, q 2 ) at nonzero momentum transfer q . Overall, our results do not agree with the original attempt of one-loop calculations of F ( x ) for gluon states, which sets alarm warning for calculations that use matrix elements with virtual external gluons and for lattice renormalization procedures based on their results.