Irreducible multiplets of three-quark operators on the lattice - Controlling mixing under renormalization

Kaltenbrunner, T. and Goeckeler, M. and Schaefer, A. (2008) Irreducible multiplets of three-quark operators on the lattice - Controlling mixing under renormalization. EUROPEAN PHYSICAL JOURNAL C, 55 (3). pp. 387-401. ISSN 1434-6044,

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: QUANTUM CHROMODYNAMICS; EXCLUSIVE PROCESSES; FORM-FACTORS; REPRESENTATIONS; MOMENTS; QCD;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 29 Oct 2020 12:07
Last Modified: 29 Oct 2020 12:07
URI: https://pred.uni-regensburg.de/id/eprint/30786

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