2002/12/31 by A. C. Aguilar, A. A. Natale, P. S. Rodrigues da Silva · 109 citations
Mathematics · Physics and Astronomy · #Beta function (physics) #Black Holes and Theoretical Physics #Coupling constant #Fermion #Fixed point #Gauge (firearms) #Gauge boson #Gauge theory #Gluon #Infrared fixed point #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Renormalization #Thermal quantum field theory #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevlett.90.152001
published in Physical Review Letters 90(15), 152001 (American Physical Society) · 4 pages, Revtex - Added some clarifying comments and new references
openalex publication_date 2003/04/15 · arxiv created 2003/04/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that in pure gauge QCD (or any pure non-Abelian gauge theory) the condition for the existence of a global minimum of energy with a gluon (gauge boson) mass scale also implies the existence of a fixed point of the beta function. We argue that the frozen value of the coupling constant found in some solutions of the Schwinger-Dyson equations of QCD can be related to this fixed point. We also discuss how the inclusion of fermions modifies this property.