1994/11/08 by F. T. Hawes, Frederick T. Hawes, Hawes, F. T. +5
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9411238
10 pages, no figures, single uuencoded latex file; To appear in the Conference Proceedings of the XII International Seminar on High Energy Physics Problems, Dubna, Russia, September 12-17, 1994
arxiv created 1994/11/08 · openalex publication_date 1994/11/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Two examples of recent progress in applications of the Dyson-Schwinger equation (DSE) formalism are presented: (1) Strong coupling quantum electrodynamics in 4 dimensions (QED4) is an often studied model, which is of interest both in its own right and as an abelian model of quantum chromodynamics (QCD). We present results from a study of subtractive renormalization of the fermion propagator Dyson-Schwinger equation (DSE) in massive strong-coupling quenched QED4. The procedure is straightforward to implement and numerically stable. (2) The Bethe-Salpeter equation (BSE) with a class of non-ladder scattering kernels is solved in \it Minkowski space in terms of the perturbation theory integral representation (PTIR). We consider a bound state of two spinless particles with the formal expression of the full scattering kernel in a ϕ2σ scalar model. We derive an integral equation for the weight function with a real kernel. We recover as a check results for the massive scalar ladder approximation.