Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-01-25
Eur.Phys.J.C55:387-401,2008
Physics
High Energy Physics
High Energy Physics - Lattice
13 pages
Scientific paper
10.1140/epjc/s10052-008-0596-4
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.
Göckeler Meinulf
Kaltenbrunner Thomas
Sch{ä}fer Andreas
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