Universal effective action for O(n)-symmetric λϕ4 model from renormalization group
A. I. Sokolov, E. V. Orlov, V. A. Ul'kov, S. S. Kashtanov
Abstract
The RG expansions for renormalized coupling constants g6 and g8 of the 3D n-vector model are calculated in the 4-loop and 3-loop approximations respectively. Resummation of the RG series for g6 by the Pade-Borel-Leroy technique results in the estimates for its universal critical values g6*(n) which are argued to deviate from the exact numbers by less than 0.3%. The RG expansion for g8 demonstrates stronger divergence being much less suitable for getting reliable numerical estimates.
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