Renormalization properties of the mass operator A μ a A μ a in three-dimensional Yang-Mills theories in the Landau gauge

Massive renormalizable Yang-Mills theories in three dimensions are analyzed within the algebraic renormalization in the Landau gauge. In analogy with the four-dimensional case, the renormalization of the mass operator A μ a A μ a turns out to be expressed in terms of the fields and coupling constant...

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Bibliographic Details
Published inAnnals of physics Vol. 317; no. 1; pp. 203 - 219
Main Authors Dudal, D., Gracey, J.A., Lemes, V.E.R., Sobreiro, R.F., Sorella, S.P., Verschelde, H.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.05.2005
Subjects
BRST quantization
Field theories in lower dimensions
Renormalization
11.10.Gh
Renormalization
11.10.Kk
Field theories in lower dimensions
BRST quantization
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Summary:Massive renormalizable Yang-Mills theories in three dimensions are analyzed within the algebraic renormalization in the Landau gauge. In analogy with the four-dimensional case, the renormalization of the mass operator A μ a A μ a turns out to be expressed in terms of the fields and coupling constant renormalization factors. We verify the relation we obtain for the operator anomalous dimension by explicit calculations in the large N f expansion. The generalization to other gauges such as the non-linear Curci–Ferrari gauge is briefly outlined.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2004.11.012