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The Higgs-Top model is studied by a non-perturbative variational extension ofthe Gaussian Effective Potential that incorporates fermions. In the limit of avery strong Yukawa coupling the one-loop result is shown to follow asingle-parameter scaling while the gaussian fluctuations give rise to importantdeviations from scaling and to a reduction of the vev and of the top mass. Agood general agreement is found with lattice data when a comparison can bemade. The vacuum is shown to be stable for any choice of the Yukawa coupling,at variance with renormalized perturbation theory. Analytical results areprovided for few observables like the renormalized mass of the Higgs boson andits wave function renormalization constant. Extensions to gauge theories likeQCD are briefly discussed.

Incorporating fermions in the Gaussian Effective Potential: the Higgs-Top Sector