"TRIVIALITY" MADE EASY: the real (lambda Phi^4)_4 story
High Energy Physics - Phenomenology
2007-05-23 v1 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.hep-ph/9407334,
title = {"TRIVIALITY" MADE EASY: the real (lambda Phi^4)_4 story},
author = {M. Consoli and P. M. Stevenson},
journal= {arXiv preprint arXiv:hep-ph/9407334},
year = {2007}
}
Comments
7 pages, LaTeX, DE-FG05-92ER40717-14