AUTONOMOUS RENORMALIZATION OF PHI(4) IN FINITE GEOMETRY

The autonomous renormalization of the phi(N)-symmetric scalar theory i s based on an infinite re-scaling of constant fields, whereas finite-m omentum modes remain finite. The natural framework for a detailed anal ysis of this method is a system of finite size, where all non-constant modes can be integrated out perturbatively and the constant mode is t reated by a saddle-point approximation in the thermodynamic limit. Our calculation provides a better understanding of the properties of the effective action and corroborates earlier findings concerning a heavy Higgs particle at about 2 TeV [M. Consoli, Phys. Lett. B 305 (1993) 93 ; R. Ibanez-Meier and P.M. Stevenson, Phys. Lett. B 297 (1992) 144; R. Ibanez-Meier, I, Stancu and P.M. Stevenson, Gaussian Effective Potent ial for U(1) Higgs Model, Rice University preprint DOE/ER/05096-51].