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arxiv: hep-ph/9407334 · v1 · submitted 1994-07-19 · ✦ hep-ph · hep-lat· hep-th

"TRIVIALITY" MADE EASY: the real (lambda Phi⁴)₄ story

classification ✦ hep-ph hep-lathep-th
keywords theorytrivialitylambdapotentialrealamplitudesassumingassumption
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The real meaning of `triviality' of (lambda Phi^4)_4 theory is outlined. Assuming `triviality' leads to an effective potential that is just the classical potential plus the zero-point energy of the free-field fluctuations. This V_{eff} gives spontaneous symmetry breaking. Its proper renormalization has the consequence that all scattering amplitudes vanish, self-consistently validating the original assumption. Nevertheless, the theory is physically distinguishable from a free field theory; it has a symmetry-restoring phase transition at a finite critical temperature.

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