Self-consistent nonperturbative anomalous dimensions

Details Self-consistent nonperturbative anomalous dimensions Self-consistent nonperturbative anomalous dimensions

2003-09-04

arxiv.org/abs/hep-th/0309047v1

J.Phys.A36:11697-11710,2003

Physics

High Energy Physics

High Energy Physics - Theory

15 pages LaTeX, no figures. Requires iopart.cls

Scientific paper

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 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 $g^4$.

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