On the consistent solution of the gap--equation for spontaneously broken $λΦ^4$-theory

Abstract

We present a self--consistent solution of the finite temperature gap--equation for $λΦ^4$ theory beyond the Hartree-Fock approximation using a composite operator effective action. We find that in a spontaneously broken theory not only the so--called daisy and superdaisy graphs contribute to the resummed mass, but also resummed non--local diagrams are of the same order, thus altering the effective mass for small values of the latter.