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Mode dependent field renormalization and triviality

1995/11/06 by Rolf Tarrach · 2 citations
Engineering · Physics and Astronomy · #Cutoff #Field (mathematics) #Functional renormalization group #Laser-Plasma Interactions and Diagnostics #Limit (mathematics) #Massless particle #Mode (computer interface) #Particle Accelerators and Free-Electron Lasers #Quantum Chromodynamics and Particle Interactions #Renormalization #Renormalization group #Triviality #hep-th

paper · pdf · doi:10.1016/0370-2693(95)01438-1

published in Physics Letters B 367(1-4), 249-253 (Elsevier BV) · 14 pages, no figures, TeX file

arxiv created 1995/11/06 · openalex publication_date 1996/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations