2002/02/07 by Cetin Savkli, Çetin Şavklı, Franz Gross +2 · 1 citation
Mathematics · Physics and Astronomy · #Bound state #Combinatorics #Geometry #Graph #High-Energy Particle Collisions Research #Mathematical analysis #Mathematical physics #Mathematics #Normalization (sociology) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Rainbow #Scalar (mathematics) #Upper and lower bounds #Vertex (graph theory) #Wave function #hep-ph #nucl-th
paper · pdf · doi:10.1016/s0370-2693(02)01362-x
published as Phys.Lett.B531:161-166,2002 · 9 pages, 5 figures
arxiv created 2002/02/07 · openalex publication_date 2002/04/01 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In recent studies of the one and two-body Greens' function for scalar interactions it was shown that crossed ladder and ``crossed rainbow'' (for the one-body case) exchanges play a crucial role in nonperturbative dynamics. In this letter we use exact analytical and numerical results to show that the contribution of vertex dressings to the two-body bound state mass for scalar QED are cancelled by the self-energy and wavefunction normalization. This proves, for the first time, that the mass of a two-body bound state given by the full theory can in a very good approximation be obtained by summing only ladder and crossed ladder diagrams using a bare vertex and a constant dressed mass. We also discuss the implications of the remarkable cancellation between rainbow and crossed rainbow diagrams that is a feature of one-body calculations.