Non-perturbative fixed points and renormalization group improved   effective potential
  The stability conditions of a renormalization group improved effective potential have been discussed in the case of scalar QED and QCD with a colorless scalar. We calculate the same potential in these models assuming the existence of non-perturbative fixed points associated to a conformal phase. In the case of scalar QED the barrier of instability found previously is barely displaced as we approach the fixed point, and in the case of QCD with a colorless scalar not only the barrier is changed but the local minimum of the potential is also changed. 
A. G. Dias, A. F. Ferrari, J. D. Gomez, A. A. Natale, A. G. Quinto
hep-ph hep-th