Renormalization of twist-four operators in QCD

Braun, V. M. and Manashov, A. N. and Rohrwild, J. (2010) Renormalization of twist-four operators in QCD. NUCLEAR PHYSICS B, 826 (1-2). pp. 235-293. ISSN 0550-3213,

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Abstract

Extending the work by Bukhvostov, Frolov, Lipatov and Kuraev (BFLK) on the renormalization of quasipartonic operators we derive a complete set of two-particle renormalization group kernels that enter QCD evolution equations to twist-four accuracy. To this end we develop a new technique which essentially bypasses calculation of Feynman diagrams. It is shown that the 2 -> 2 evolution kernels which involve "non-partonic" components of field operators, and, most remarkably, also 2 -> 3 kernels do not require independent calculation and can be restored from the known results for quasipartonic operators using conformal symmetry and Lorentz transformations. The kernels are presented for the renormalization of light-ray operators built of chiral fields in a particular basis such that the conformal symmetry is manifest. The results can easily be recast in momentum space, in the form of evolution equations for generalized parton distributions. (C) 2009 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: DEEP-INELASTIC-SCATTERING; BACKGROUND FIELD METHOD; FREE GAUGE-THEORIES; YANG-MILLS THEORY; LIGHT-CONE GAUGE; QUANTUM CHROMODYNAMICS; EVOLUTION-EQUATIONS; ONE-LOOP; DISTRIBUTION AMPLITUDES; DILATATION OPERATOR;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Aug 2020 07:16
Last Modified: 06 Aug 2020 07:16
URI: https://pred.uni-regensburg.de/id/eprint/25154

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