Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-03-27
Z.Phys. C65 (1995) 519-535
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, HD-THEP-94-3, replaced because: lines too long, blank lines
Scientific paper
10.1007/BF01556140
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".
Papenbrock Thomas
Wetterich Christof
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