Dimensional Renormalization in phi^3 theory: ladders and rainbows

Simple item page
dc.creatorDelbourgo, R
dc.creatorElliott, D
dc.creatorMcAnally, D
dc.date1996-11-20
dc.date.accessioned2026-07-07T11:10:20Z
dc.date.available2026-07-07T11:10:20Z
dc.descriptionThe sum of all ladder and rainbow diagrams in $ϕ^3$ theory near 6 dimensions leads to self-consistent higher order differential equations in coordinate space which are not particularly simple for arbitrary dimension D. We have now succeeded in solving these equations, expressing the results in terms of generalized hypergeometric functions; the expansion and representation of these functions can then be used to prove the absence of renormalization factors which are transcendental for this theory and this topology to all orders in perturbation theory. The correct anomalous scaling dimensions of the Green functions are also obtained in the six-dimensional limit.
dc.description11 pages, LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/9611150
dc.identifierhttp://arxiv.org/abs/hep-th/9611150
dc.identifierPhys.Rev.D55:5230-5233,1997
dc.identifierdoi:10.1103/PhysRevD.55.5230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190751
dc.subjectHigh Energy Physics - Theory
dc.titleDimensional Renormalization in phi^3 theory: ladders and rainbows
dc.typetext

Files

Collections

arXiv