Three loop MSbar renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD

Details Three loop MSbar renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD Three loop MSbar renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD

2002-11-15

arxiv.org/abs/hep-th/0211144v1

Phys.Lett. B552 (2003) 101-110

Physics

High Energy Physics

High Energy Physics - Theory

11 latex pages

Scientific paper

10.1016/S0370-2693(02)03077-0

The massless Curci-Ferrari model with N_f flavours of quarks is renormalized to three loops in the MSbar scheme in an arbitrary covariant gauge with parameter alpha. The renormalization of the BRST invariant dimension two composite operator, 1/2 (A^a_\mu)^2 - alpha \bar{c}^a c^a, which corresponds to the mass operator in the massive Curci-Ferrari model, is determined by renormalizing the Green's function where the operator is inserted in a ghost two-point function. Consequently the anomalous dimension of the QCD Landau gauge operator, 1/2 (A^a_\mu)^2, and the (gauge independent) photon mass anomalous dimension in QED are both deduced at three loops.

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