Relating a gluon mass scale to an infrared fixed point in pure gauge QCD
  We show that in pure gauge QCD (or any pure non-Abelian gauge theory) the condition for the existence of a global minimum of energy with a gluon (gauge boson) mass scale also implies the existence of a fixed point of the $\beta$ function. We argue that the frozen value of the coupling constant found in some solutions of the Schwinger-Dyson equations of QCD can be related to this fixed point. We also discuss how the inclusion of fermions modifies this property. 
A.C.Aguilar, A.A.Natale and P.S.Rodrigues da Silva (IFT-Unesp, Sao   Paulo)