Self-consistent nonperturbative anomalous dimensions

dc.creatorDelbourgo, R
dc.date2003-09-04
dc.date.accessioned2026-07-07T11:10:13Z
dc.date.available2026-07-07T11:10:13Z
dc.descriptionA self-consistent treatment of two and three point functions in models with trilinear interactions forces them to have opposite anomalous dimensions. We indicate how the anomalous dimension can be extracted nonperturbatively by solving and suitably truncating the topologies of the full set of Dyson-Schwinger equations. The first step requires a sensible ansatz for the full vertex part which conforms to first order perturbation theory at least. We model this vertex to obtain typical transcendental equations between anomalous dimension and coupling constant $g$ which coincide with know results to order $g^4$.
dc.description15 pages LaTeX, no figures. Requires iopart.cls
dc.identifierhttps://arxiv.org/abs/hep-th/0309047
dc.identifierhttp://arxiv.org/abs/hep-th/0309047
dc.identifierJ.Phys.A36:11697-11710,2003
dc.identifierdoi:10.1088/0305-4470/36/46/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190719
dc.subjectHigh Energy Physics - Theory
dc.titleSelf-consistent nonperturbative anomalous dimensions
dc.typetext

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