2003/04/30 by Philipp Hagler, Ph. Hägler, John Negele +6 · 204 citations
Mathematics · Physics and Astronomy · #Applied mathematics #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Mathematics #Nucleon #Observable #Overdetermined system #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.68.034505
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 68(3) (American Physical Society) · 16 pages, 8 figures, LaTeX, minor elaboration of formalism and singular value decomposition for non-specialists and addition of several references
arxiv created 2003/07/04 · openalex publication_date 2003/08/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Calculation of the moments of generalized parton distributions in lattice QCD requires more powerful techniques than those previously used to calculate the moments of structure functions. Hence, we present a novel approach that exploits the full information content from a given lattice configuration by measuring an overdetermined set of lattice observables to provide maximal statistical constraints on the generalized form factors at a given virtuality t. In an exploratory investigation using unquenched QCD configurations at intermediate sea quark masses, we demonstrate that our new technique is superior to conventional methods and leads to reliable numerical signals for the n=2 flavor singlet generalized form factors up to 3GeV2. The contribution from connected diagrams in the flavor singlet sector to the total quark angular momentum is measured to an accuracy of the order of 1%.