Dyson-Schwinger equations and their application to nonperturbative field theory

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dc.creatorHawes, F. T.
dc.creatorKusaka, K.
dc.creatorWilliams, A. G.
dc.date1994-11-08
dc.date.accessioned2026-07-07T03:57:16Z
dc.date.available2026-07-07T03:57:16Z
dc.descriptionTwo examples of recent progress in applications of the Dyson-Schwinger equation (DSE) formalism are presented: (1) Strong coupling quantum electrodynamics in 4 dimensions (QED$_4$) 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 QED$_4$. 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 $ϕ^2σ$ 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.
dc.description10 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
dc.identifierhttps://arxiv.org/abs/hep-ph/9411238
dc.identifierhttp://arxiv.org/abs/hep-ph/9411238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/45350
dc.subjectHigh Energy Physics - Phenomenology
dc.titleDyson-Schwinger equations and their application to nonperturbative field theory
dc.typetext

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