Three loop MSbar anomalous dimension for renormalizable gauge invariant non-local gluon mass operator in QCD

Abstract

The three loop anomalous dimension for the gauge invariant, renormalizable, non-local mass operator for a gluon is computed in the MSbar scheme. In addition the anomalous dimensions of the associated localizing ghost fields are also deduced at the same order and it is shown that the three loop QCD beta-function correctly emerges from the gluon localizing ghost vertex renormalization.

9 latex pages with separate file containing three loop expressions in Form notation

References in corpus (9)

• The three-loop QCD $\beta$-function and anomalous dimensions
• Group theory factors for Feynman diagrams
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• Two loop effective potential for < A^2_μ> in the Landau gauge in quantum chromodynamics
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Cited by in corpus (2)

• Gluon screening mass at finite temperature from Landau gauge gluon propagator in lattice QCD
• A potential setup for perturbative confinement