Abstract

We determine the renormalized effective potential Vphi for phi4 field theory when there is spontaneous symmetry breakdown. We show how to obtain an expression for Vphi which at the one-loop level is real and convex by summing over all the minima at finite volume of the classical action with euclidean lagrangian given by . Our method of determining Zj cures the two diseases of the "naive" one-loop effective potential of being complex and non-convex. We give a new prescription for renormalization which is consistent with our calculational procedure.

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SPIRES-HEP: FIND J NUPHA,B239,459

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