Φ⁴ theory is trivial

2015/03/25 by Renata Jora, Jora, Renata
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical and Theoretical Analysis #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1503.07298

openalex publication_date 2015/03/25 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We prove that the Φ⁴ theory is trivial for any values of the bare coupling constant λ thus extending previous results referring to very strong couplings to the full range of values for this parameter. The method is based on all order properties of the partition and two point functions in the path integral formalism.

Related

• Is ϕ⁴ theory trivial ?
• Triviality" and the Perturbative Expansion in λΦ⁴ Theory
• Triviality proof for mean-field φ₄⁴-theories
• The "non triviality" of a Φ₄⁴ model, III, the "Osterwalder-Schrader Positivity"
• "TRIVIALITY" MADE EASY: the real (lambda Phi⁴)₄ story