Universal effective action for O(n)-symmetric λϕ⁴ model from renormalization group

1998/08/04 by A. I. Sokolov, E. V. Orlov, Sokolov, A. I. +5
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #cond-mat #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9808011

5 pages, LaTeX, no figures, reported at the XI Intern. Conf. "Problems of Quantum Field Theory" (July 13-17, 1998, Dubna, Russia), submitted to the Conference Proceedings

arxiv created 1998/08/04 · arxiv updated 2009/11/30

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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