Representation of the β-function and anomalous dimensions by nonsingular integrals: Proof of the main relation |
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| Authors: | L Ts Adzhemyan M V Kompaniets S V Novikov V K Sazonov |
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| Institution: | 157. Saint Petersburg State University, St. Petersburg, Russia
257. Google Switzerland GmbH, Zürich, Switzerland
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| Abstract: | A method for calculating the β-function and anomalous dimensions, convenient for numerical calculations in the ?-expansion framework, was previously proposed, and the relation underlying the method was verified up to the four-loop approximation. We prove this relation in all orders of the perturbation theory. |
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