The 3-loop Beta Function of QCD

B. Alles , C. Christou , A. Feo , H. Panagopoulos , E. Vicari

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classification ✦ hep-lat

keywords betacasefunctionloopbackgroundcalculatecomparingfermions

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Using the background field technique, we calculate the 3-loop beta function of lattice $SU(N)$ gauge theories. In the pure gluonic case, we present our results, comparing to those recently obtained by Luescher and Weisz. We also provide a progress report in the case of QCD with Wilson fermions.

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The 3-loop Beta Function of QCD

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