2001/01/31 by Axel Weber, N.E. Ligterink, Norbert E. Ligterink
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bound state #Fundamental theorem #Mathematical physics #Mathematics #No-go theorem #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Quantum mechanics #Scalar (mathematics) #Spectrum (functional analysis) #Theoretical physics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.65.025009
published as Phys.Rev. D65 (2002) 025009 · 24 pages, 6 pspicture diagrams, 4 postscript figures
arxiv created 2001/05/11 · openalex publication_date 2001/12/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The recently established generalized Gell-Mann--Low theorem is applied in lowest perturbative order to bound-state calculations in a simple scalar field theory with cubic couplings. The approach, via the generalized Gell-Mann--Low theorem retains, while being fully relativistic, many of the desirable features of the quantum mechanical approaches to bound states. In particular, no abnormal or unphysical solutions are found in the model under consideration. Both the nonrelativistic and one-body limits are straightforward and consistent. The results for the spectrum are compared to those of the Bethe-Salpeter equation (in the ladder approximation) and related equations.