Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-10-22
Z.Phys. C63 (1994) 427-436
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, LaTeX, DE-FG05-92ER40717-9
Scientific paper
10.1007/BF01580323
The strong evidence for the `triviality' of (lambda Phi^4)_4 theory is not incompatible with spontaneous symmetry breaking. Indeed, for a `trivial' theory the effective potential should be given exactly by the classical potential plus the free-field zero-point energy of the shifted field; i.e., by the one-loop effective potential. When this is renormalized in a simple, but nonperturbative way, one finds, self-consistently, that the shifted field does become non-interacting in the continuum limit. For a classically scale-invariant (CSI) lambda Phi^4 theory one finds m_h^2 = 8 pi^2 v^2, predicting a 2.2 TeV Higgs boson. Here we extend our earlier work in three ways: (i) we discuss the analogy with the hard-sphere Bose gas; (ii) we extend the analysis from the CSI case to the general case; and (iii) we propose a test of the predicted shape of the effective potential that could be tested in a lattice simulation.
Consoli Maurizio
Stevenson P. M.
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