Bethe-Salpeter equation with cross-ladder kernel in Minkowski and Euclidean spaces

2006/10/13 by V. A. Karmanov, J. Carbonell, M. Mangin-Brinet
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1016/j.nuclphysa.2007.03.101

4 pages, 3 figures. Contribution to the proceedings of the 18th International IUPAP Conference on Few-Body Problems in Physics (FB18), Santos, Brasil, August 21-26, 2006. To be published in Nucl. Phys. A

arxiv created 2006/10/13 · openalex publication_date 2007/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some results obtained by a new method for solving the Bethe-Salpeter equation are presented. The method is valid for any kernel given by irreducible Feynman graphs. The Bethe-Salpeter amplitude, both in Minkowski and in Euclidean spaces, and the binding energy for ladder + cross-ladder kernel are found. We calculate also the corresponding electromagnetic form factor.

Citations

• Ground states of the Wick-Cutkosky (scalar Yukawa) model using light-front dynamics
• From the Bethe–Salpeter equation to nonrelativistic approaches with effective two-body interactions
• A Relativistic Equation for Bound-State Problems