Abstract. 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 renormalization scheme at three loops. We show that the three loop β-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.

Key words: Renormalization Regularization and Renormalons; Renormalization Group

E-print number: hep-th/0504051
Cited: by
Refers: to

Received 22 March 2005, accepted for publication 11 April 2005
Published 29 April 2005