2004/04/23 by Cetin Savkli, Çetin Şavklı, Franz Gross +2 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Feynman diagram #Field (mathematics) #Geometry #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum gravity #Quantum mechanics #Rainbow #Representation (politics) #Scalar (mathematics) #Scalar field #Scalar field theory #Theoretical physics #hep-ph #nucl-th
paper · pdf · doi:10.1134/1.1935017
published as Phys.Atom.Nucl.68:842-860,2005; Yad.Fiz.68:874-893,2005 · 25 pags, 19 figures, prepared for the volume celebrating the 70th birthday of Yuri Simonov
arxiv created 2004/04/23 · openalex publication_date 2005/05/01 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a summary of results obtained for scalar field theories usingt he Feynman-Schwinger (FSR) approach. Specifically, scalar QED and X 2 φ theories are considered. The motivation behind the applications discussed in this paper is to use the FSR method as a rigorous tool for testing the quality of commonly used approximations in field theory. Exact calculations in a quenched theory are presented for one-, two-, and three-body bound states. Results obtained indicate that some of the commonly used approximations, such as Bethe-Salpeter ladder summation for bound states and the rainbow summation for one-body problems, produce significantly different results from those obtained from the FSR approach. We find that more accurate results can be obtained using other, simpler, approximation schemes.