Three-Loop Results in QCD with Wilson Fermions

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

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classification ✦ hep-lat

keywords fermionsfunctionlatticewilsoncalculatecoefficientresultsscaling

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We calculate the third coefficient of the lattice beta function in QCD with Wilson fermions, extending the pure gauge results of Luescher and Weisz; we show how this coefficient modifies the scaling function on the lattice. We also calculate the three-loop average plaquette in the presence of Wilson fermions. This allows us to compute the lattice scaling function both in the standard and energy schemes.

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Three-Loop Results in QCD with Wilson Fermions

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