2009/06/23 by Adnan Bashir, A. Bashir, Y. Concha-Sánchez +4 · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Compton scattering #Covariant transformation #Geometry #Graph #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Photon #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scattering #Theoretical physics #Vertex (graph theory) #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.80.045007
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 80(4) (American Physical Society) · 15 pages, 2 figures, uses axodraw
arxiv created 2009/06/23 · openalex publication_date 2009/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the Compton scattering vertex of charged scalars and photons in scalar quantum electrodynamics (SQED). We carry out its nonperturbative construction consistent with Ward-Fradkin-Green-Takahashi identity which relates 3-point vertices to the 4-point ones. There is an undetermined part which is transverse to one or both the external photons, and needs to be evaluated through perturbation theory. We present in detail how the transverse part at the 1-loop order can be evaluated for completely general kinematics of momenta involved in covariant gauges and dimensions. This involves the calculation of genuine 4-point functions with three massive propagators, the most nontrivial integrals reported in this paper. We also discuss possible applications of our results.