Implications of N=1 supersymmetry for QCD conformal operators

Belitsky, A. V. and Mueller, D. and Schaefer, Andreas (1999) Implications of N=1 supersymmetry for QCD conformal operators. PHYSICS LETTERS B, 450 (1-3). pp. 126-135. ISSN 0370-2693, 1873-2445

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Abstract

We prove a set of identities for the anomalous dimensions of the quark and gluon conformal operators in the flavour singlet channel in QCD. These relations arise from the graded commutator algebra of the N = 1 superconformal group. We evaluate the rotation matrices for the quantities under study from the conventional dimensional regularization to the supersymmetry preserving regularization scheme. Using them we verify the equalities in two-loop;approximation employing the results for the NLO anomalous dimensions of the conformal operators in the minimal subtraction scheme derived earlier. (C) 1999 Elsevier Science B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: YANG-MILLS THEORY; DIMENSIONAL REGULARIZATION; REDUCTION; ANNIHILATION; ANOMALIES; ORDER; superconformal algebra; Ward identities; dimensional reduction; anomalous dimensions; conformal operators
Subjects: 600 Technology > 610 Medical sciences Medicine
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 08 Nov 2022 15:26
Last Modified: 08 Nov 2022 15:26
URI: https://pred.uni-regensburg.de/id/eprint/48429

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