Renormalization properties of the mass operator A^2 in three dimensional Yang-Mills theories in the Landau gauge

Abstract

Massive renormalizable Yang-Mills theories in three dimensions are analysed within the algebraic renormalization in the Landau gauge. In analogy with the four dimensional case, the renormalization of the mass operator A^2 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. The generalization to other gauges such as the nonlinear Curci-Ferrari gauge is briefly outlined.

15 pages, 3 figures

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• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• On $C_J$ and $C_T$ in Conformal QED
• Six dimensional QCD at two loops
• Three loop MSbar renormalization of QCD in the maximal abelian gauge
• Ghost condensation on the lattice
• UV finiteness of 3D Yang-Mills theories with a regulating mass in the Landau gauge
• A gauge invariant infrared stabilization of 3D Yang-Mills gauge theories