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We present a self--consistent solution of the finite temperaturegap--equation for $\lambda \Phi^4$ theory beyond the Hartree-Fock approximationusing a composite operator effective action. We find that in a spontaneouslybroken theory not only the so--called daisy and superdaisy graphs contribute tothe resummed mass, but also resummed non--local diagrams are of the same order,thus altering the effective mass for small values of the latter.Comment: 15 pages of revtex + 3 uuencoded postscript figures, ENSLAPP A-488/9

On the consistent solution of the gap-equation for spontaneously broken?? 4-theory