"TRIVIALITY" MADE EASY: the real (lambda Phi^4)_4 story

Details "TRIVIALITY" MADE EASY: the real (lambda Phi^4)_4 story "TRIVIALITY" MADE EASY: the real (lambda Phi^4)_4 story

1994-07-19

arxiv.org/abs/hep-ph/9407334v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, LaTeX, DE-FG05-92ER40717-14

Scientific paper

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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