2021/12/31 by Ian Balitsky, Wayne Morris, Anatoly Radyushkin
Mathematics · Physics and Astronomy · #Amplitude #Euclidean geometry #Geometry #Gluon #High-Energy Particle Collisions Research #Invariant (physics) #Lambda #Lattice (music) #Mathematical physics #Mathematics #Matrix (chemical analysis) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Twist #hep-lat #hep-ph
paper · pdf · doi:10.1007/jhep02(2022)193
arxiv created 2022/01/31 · openalex publication_date 2022/02/01 · arxiv updated 2022/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We formulate the basic points of the pseudo-PDF approach to the lattice calculation of polarized gluon PDFs. We present the results of our calculations of the one-loop corrections for the bilocal Gμα(z) \widetilde Gλβ(0) correlator of gluonic fields. Expressions are given for a general situation when all four indices are arbitrary, and also for specific combinations of indices corresponding to three matrix elements that contain the twist-2 invariant amplitude related to the polarized PDF. We study the evolution properties of these matrix elements, and derive matching relations between Euclidean and light-cone Ioffe-time distributions. These relations are necessary for extraction of the polarized gluon distributions from the lattice data.