Two loop results from one loop computations and non perturbative solutions of exact evolution equations
Abstract
A nonperturbative method is proposed for the approximative solution of the exact evolution equation which describes the scale dependence of the effective average action. It consists of a combination of exact evolution equations for independent couplings with renormalization group improved one loop expressions of secondary couplings. Our method is illustrated by an example: We compute the beta-function of the quartic coupling lambda of an O(N) symmetric scalar field theory to order lambda^3 as well as the anomalous dimension to order lambda^2 using only one loop expressions and find agreement with the two loop perturbation theory. We also treat the case of very strong coupling and confirm the existence of a "triviality bound".
Cite
@article{arxiv.hep-th/9403164,
title = {Two loop results from one loop computations and non perturbative solutions of exact evolution equations},
author = {T. Papenbrock and C. Wetterich},
journal= {arXiv preprint arXiv:hep-th/9403164},
year = {2009}
}
Comments
32 pages, HD-THEP-94-3, replaced because: lines too long, blank lines