Three loop [formula omitted] renormalization of the Curci–Ferrari model and the dimension two BRST invariant composite operator in QCD

The massless Curci–Ferrari model with Nf flavours of quarks is renormalized to three loops in the MS scheme in an arbitrary covariant gauge with parameter α. The renormalization of the BRST invariant dimension two composite operator, 12Aa2μ−αc̄aca, which corresponds to the mass operator in the massi...

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Bibliographic Details
Published inPhysics letters. B Vol. 552; no. 1-2; pp. 101 - 110
Main Author Gracey, J.A.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 16.01.2003
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Summary:The massless Curci–Ferrari model with Nf flavours of quarks is renormalized to three loops in the MS scheme in an arbitrary covariant gauge with parameter α. The renormalization of the BRST invariant dimension two composite operator, 12Aa2μ−αc̄aca, 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, 12Aa2μ, and the (gauge independent) photon mass anomalous dimension in QED are both deduced at three loops.
ISSN:0370-2693
1873-2445
DOI:10.1016/S0370-2693(02)03077-0