Mode dependent field renormalization and triviality

Abstract

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.

14 pages, no figures, TeX file

References in corpus (4)

• The Non-Trivial Effective Potential of the `Trivial' lambda Phi^4 Theory: A Lattice Test
• Lattice $({\Phi }^4{)}_4$ Effective Potential Giving Spontaneous Symmetry Breaking and the Role of the Higgs Mass
• Autonomous Renormalization of the One-Loop Effective Potential and a 2 Tev Higgs in SU(2)xU(1)
• Autonomous Renormalization of Phi^4 in Finite Geometry

Cited by in corpus (1)

• Dynamical symmetry breaking of $\lambda {\varphi }^4$ in two loop effective potential