On the dynamical mass generation in confining Yang–Mills theories

Abstract The dynamical mass generation for gluons is discussed in Euclidean Yang–Mills theories supplemented with a renormalizable mass term. The mass parameter is not free, being determined in a self-consistent way through a gap equation which obeys the renormalization group. The example of the Landau gauge is worked out explicitly at one-loop order. The issues of the unitarity and of the gauge invariance are also addressed.