Approximate Differential Equations for Renormalization Group Functions in Models Free of Vertex Divergencies
High Energy Physics - Theory
2009-11-23 v3 Mathematical Physics
math.MP
Abstract
I introduce an approximation scheme that allows to deduce differential equations for the renormalization group -function from a Schwinger--Dyson equation for the propagator. This approximation is proven to give the dominant asymptotic behavior of the perturbative solution. In the supersymmetric Wess--Zumino model and a scalar model which do not have divergent vertex functions, this simple Schwinger--Dyson equation for the propagator captures the main quantum corrections.
Keywords
Cite
@article{arxiv.0907.2296,
title = {Approximate Differential Equations for Renormalization Group Functions in Models Free of Vertex Divergencies},
author = {Marc Bellon},
journal= {arXiv preprint arXiv:0907.2296},
year = {2009}
}
Comments
Clarification of the presentation of results. Equations and results unchanged. Match the published version. 12 pages