2008/01/25 by Thomas Kaltenbrunner, M. Göckeler, Meinulf Göckeler +1 · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1140/epjc/s10052-008-0596-4
published as Eur.Phys.J.C55:387-401,2008 · 13 pages
arxiv created 2008/01/25 · openalex publication_date 2008/04/28 · arxiv updated 2009/12/01 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/29
High luminosity accelerators have greatly increased the interest in semi-exclusive and exclusive reactions involving nucleons. The relevant theoretical information is contained in the nucleon wavefunction and can be parametrized by moments of the nucleon distribution amplitudes, which in turn are linked to matrix elements of three-quark operators. These can be calculated from first principles in lattice QCD. However, on the lattice the problems of operator mixing under renormalization are rather involved. In a systematic approach we investigate this issue in depth. Using the spinorial symmetry group of the hypercubic lattice we derive irreducibly transforming three-quark operators, which allow us to control the mixing pattern.