Regular Article - Theoretical Physics
Irreducible multiplets of three-quark operators on the lattice
Controlling mixing under renormalization
Institut für Theoretische Physik, Universität Regensburg, 93040, Regensburg, Germany
Published online: 29 April 2008
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 the 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.
© Springer-Verlag , 2008