Open AccessThree loop bar Mbar S renormalization of QCD in the maximal abelian gauge
Author(s) -
John A Gracey
Publication year - 2005
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2005/04/012
Subject(s) - physics , gluon , abelian group , renormalization , gauge (firearms) , quantum chromodynamics , background field method , particle physics , renormalization group , gauge theory , invariant (physics) , loop (graph theory) , mathematical physics , brst quantization , wilson loop , dimension (graph theory) , quantum electrodynamics , gauge group , gauge fixing , order (exchange) , limit (mathematics) , bar (unit) , gluon field , light cone gauge , supersymmetric gauge theory
We determine the three loop anomalous dimensions of the quark, centre andoff-diagonal gluons, centre and off-diagonal ghosts and the gauge fixingparameters in the maximal abelian gauge for an arbitrary colour group in theMSbar renormalization scheme at three loops. We show that the three loop MSbarbeta-function emerges from the renormalization of the centre gluon and alsodeduce the anomalous dimension of the BRST invariant dimension two massoperator. Moreover, we demonstrate that in the limit that the dimension of thecentre 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, gluonsand ghosts of the Curci-Ferrari gauge respectively.Comment: 25 latex page
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