Calculation of One-Loop Anomalous Dimensions by Means of the Background Field Method

摘要

The knowledge of propagators in background fields makes calculation of anomalous dimensions (AD) straight forward and brief. The paper illustrates this statement by calculation of AD of many spin-zero and one QCD operators up to the eighth dimension included. The method presented does not simplify calculations in case of four-quark operators, therefore these are not discussed. Together with calculational difficulties arising for operators with derivatives this limits capacities of the whole approach and leads to incompleteness of some mixing matrices found in the article. (Atomindex citation 16:003761)