Belitsky, A. V. and Mueller, D. (1999) Broken conformal invariance and spectrum of anomalous dimensions in QCD. NUCLEAR PHYSICS B, 537 (1-3). pp. 397-442. ISSN 0550-3213,
Full text not available from this repository.Abstract
Employing the operator algebra of the conformal group and the conformal Ward identities, we derive the constraints for the anomalies of dilatation and special conformal transformations of the local twist-2 operators in Quantum Chromodynamics. We calculate these anomalies in the leading order of perturbation theory in the minimal subtraction scheme. From the conformal consistency relation we derive then the off-diagonal part of the anomalous dimension matrix of the conformally covariant operators in the two-loop approximation of the coupling constant in terms of these quantities. We deduce corresponding off-diagonal parts of the Efremov-Radyushkin-Brodsky-Lepage kernels responsible for the evolution of the exclusive distribution amplitudes and non-forward parton distributions in the next-to-leading order in the flavour singlet channel for the chiral-even parity-odd and -even sectors as well as for the chiral-odd one. We also give the analytical solution of the corresponding evolution equations exploiting the conformal partial wave expansion. (C) 1999 Elsevier Science B.V.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DEEP-INELASTIC-SCATTERING; ENERGY-MOMENTUM-TENSOR; LOCAL OPERATOR PRODUCTS; BACKGROUND-FIELD GAUGE; LIGHT-CONE OPERATORS; TO-LEADING ORDER; EVOLUTION-EQUATIONS; WAVE-FUNCTIONS; DISTRIBUTION AMPLITUDE; ASYMPTOTIC-BEHAVIOR; conformal Ward identities; conformal anomalies; anomalous dimensions; evolution equations |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Nov 2022 06:26 |
| Last Modified: | 23 Nov 2022 06:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/48590 |
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