Three loop MSbar renormalization of QCD in the maximal abelian gauge

Details Three loop MSbar renormalization of QCD in the maximal abelian gauge Three loop MSbar renormalization of QCD in the maximal abelian gauge

2005-04-06

arxiv.org/abs/hep-th/0504051v1

JHEP 0504 (2005) 012

Physics

High Energy Physics

High Energy Physics - Theory

25 latex pages

Scientific paper

10.1088/1126-6708/2005/04/012

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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