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Three loop MSbar renormalization of QCD in the maximal abelian gauge
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We determine the three loop anomalous dimensions of the quark, centre and off-diagonal gluons, centre and off-diagonal ghosts and the gauge fixing parameters in the maximal abelian gauge for an arbitrary colour group in the MSbar renormalization scheme at three loops. We show that the three loop MSbar beta-function emerges from the renormalization of the centre gluon and also deduce the anomalous dimension of the BRST invariant dimension two mass operator. Moreover, we demonstrate that in the limit that the dimension of the centre of the group tends to zero, the anomalous dimensions of the quarks, off-diagonal gluons and off-diagonal ghosts tend to those of the quarks, gluons and ghosts of the Curci-Ferrari gauge respectively.
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Perturbative static quark potential in Maximal Abelian gauge
A two-loop perturbative calculation of the static quark potential and its abelian projection in the Maximal Abelian gauge, with coefficients compared to lattice data at r less than 0.5 fm.
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