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".

32 pages, HD-THEP-94-3, replaced because: lines too long, blank lines

References in corpus (3)

• Exact evolution equation for the effective potential
• Critical Exponents from the Effective Average Action
• Perturbative renormalization and infrared finiteness in the Wilson renormalization group: the massless scalar case

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