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

摘要

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(mu)(a)A(mu)(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. (c) 2004 Elsevier Inc. All rights reserved.