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Two loop results from one loop computations and non perturbative solutions of exact evolution equations | | T.Papenbrock
; C.Wetterich
; | | Date: |
27 Mar 1994 | | Journal: | Z.Phys. C65 (1995) 519-535 | | Subject: | hep-th | | 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". | | Source: | arXiv, hep-th/9403164 | | Services: | Forum | Review | PDF | Favorites | |
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