Conformal constraints for anomalous dimensions of leading-twist operators

Manashov, A. N. and Strohmaier, M. (2015) Conformal constraints for anomalous dimensions of leading-twist operators. EUROPEAN PHYSICAL JOURNAL C, 75 (8): 363. ISSN 1434-6044, 1434-6052

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Abstract

Leading-twist operators have a remarkable property that their divergence vanishes in a free theory. Recently it was suggested that this property can be used for an alternative technique to calculate anomalous dimensions of leading-twist operators and allows one to gain one order in perturbation theory so that, i.e., two-loop anomalous dimensions can be calculated from one-loop Feynman diagrams, etc. In this work we study the feasibility of this program by a toy-model example of the phi(3) theory in six dimensions. Our conclusion is that this approach is valid, although it does not seem to present considerable technical simplifications as compared to the standard technique. It does provide one, however, with a very nontrivial check of the calculation as the structure of the contributions is very different.

Item Type: Article
Uncontrolled Keywords: 3-LOOP SPLITTING FUNCTIONS; EVOLUTION-EQUATIONS; 1/N EXPANSION; EXPONENT-ETA; QCD; COMPUTATION; MODEL; CONE;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Jun 2019 11:24
Last Modified: 14 Jun 2019 11:24
URI: https://pred.uni-regensburg.de/id/eprint/5025

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