Mode dependent field renormalization and triviality

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, no figures, TeX file

Scientific paper

10.1016/0370-2693(95)01438-1

We critically analyze the introduction of an independent zero momentum mode
field renormalization for Phi4. It leads to an infrared divergent effective
action. It does not achieve its purpose: triviality still gives massless
particles in the broken phase in the continuum limit. It leads to an effective
potential which is not the low energy limit of the effective action.

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