Universal effective action for O(n)-symmetric \lambda \phi^4 model from renormalization group
High Energy Physics - Theory
2007-05-23 v1 Condensed Matter
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
The RG expansions for renormalized coupling constants g_6 and g_8 of the 3D n-vector model are calculated in the 4-loop and 3-loop approximations respectively. Resummation of the RG series for g_6 by the Pade-Borel-Leroy technique results in the estimates for its universal critical values g_6^*(n) which are argued to deviate from the exact numbers by less than 0.3%. The RG expansion for g_8 demonstrates stronger divergence being much less suitable for getting reliable numerical estimates.
Cite
@article{arxiv.hep-th/9808011,
title = {Universal effective action for O(n)-symmetric \lambda \phi^4 model from renormalization group},
author = {A. I. Sokolov and E. V. Orlov and V. A. Ul'kov and S. S. Kashtanov},
journal= {arXiv preprint arXiv:hep-th/9808011},
year = {2007}
}
Comments
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