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Self-consistent nonperturbative anomalous dimensions


Delbourgo, R, Self-consistent nonperturbative anomalous dimensions, Journal of Physics A: Mathematical and General, 36 pp. 11697-11709. ISSN 0305-4470 (2003) [Refereed Article]

DOI: doi:10.1088/0305-4470/36/46/012


A 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 Dyson-Schwinger set of 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 relations between anomalous dimension and coupling constant g which coincide with known results to order g 4.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Other physical sciences
Research Field:Other physical sciences not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Delbourgo, R (Professor Robert Delbourgo)
ID Code:28500
Year Published:2003
Web of Science® Times Cited:5
Deposited By:Physics
Deposited On:2003-08-01
Last Modified:2004-04-07

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