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Bound state solutions of scalar QED2+1 for zero photon mass

1995/06/19 by Taco Nieuwenhuis, J. A. Tjon · 11 citations
Mathematics · Physics and Astronomy · #Bethe–Salpeter equation #Black Holes and Theoretical Physics #Bound state #Cosmology and Gravitation Theories #Feynman diagram #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Photon #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Representation (politics) #Scalar (mathematics) #Zero (linguistics) #hep-ph #nucl-th

paper · pdf · doi:10.1016/0370-2693(95)00753-8

published in Physics Letters B 355(1-2), 283-287 (Elsevier BV) · LaTeX, 11 pages, 2 Postscript figures; uses `elsart.sty' and `epsf.sty' (both included with the figures in one uuencoded- compressed-tar-package); accepted for publication in Physics Letters B. (elsart12.sty now also included)

arxiv created 1995/06/19 · openalex publication_date 1995/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The Feynman-Schwinger representation is used to study the behavior of solutions of scalar QED in (2+1) dimensions. The limit of zero photon mass is seen to be smooth. The Bethe-Salpeter equation in the ladder approximation also exhibits this property. They clearly deviate from the behavior in the nonrelativistic limit. In a variational analysis we show that this difference can be attributed to retardation effects of relativistic origin.

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