Braun, V. M. and Manashov, A. N. and Rohrwild, J. (2009) Baryon operators of higher twist in QCD and nucleon distribution amplitudes. NUCLEAR PHYSICS B, 807 (1-2). pp. 89-137. ISSN 0550-3213, 1873-1562
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We develop a general theoretical framework for the description of higher-twist baryon operators which makes maximal use of the conformal symmetry of the QCD Lagrangian. The conformal operator basis is constructed for all twists. The complete analysis of the one-loop renormalization of twist-4 operators is given. The evolution equation for three-quark operators of the same chirality turns out to be completely integrable. The spectrum of anomalous dimensions coincides in this case with the energy spectrum of the twist-4 subsector of the SU(2, 2) Heisenberg spin chain. The results are applied to give a general classification and calculate the scale dependence of subleading twist-4 nucleon distribution amplitudes that are relevant for hard exclusive reactions involving a helicity flip. In particular we find an all-order expression (in conformal spin) for the contributions of geometric twist-3 operators to the (light-cone) twist-4 nucleon distribution amplitudes, which are usually referred to as Wandzura-Wilczek terms. (C) 2008 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DEEP-INELASTIC-SCATTERING; PION FORM-FACTOR; EVOLUTION-EQUATIONS; QUANTUM CHROMODYNAMICS; ANOMALOUS-DIMENSIONS; DILATATION OPERATOR; ASYMPTOTIC-BEHAVIOR; EXCLUSIVE PROCESSES; WAVE-FUNCTIONS; VECTOR-MESONS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Oct 2020 08:53 |
| Last Modified: | 07 Oct 2020 08:53 |
| URI: | https://pred.uni-regensburg.de/id/eprint/29567 |
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