arXiv:cond-mat/9803357·v1·Statistical Mechanics
Universal sextic effective interaction at criticality
A. I. Sokolov🇷🇺 · E. V. Orlov🇷🇺 · V. A. Ul'kov (Saint Petersburg Electrotechnical University, St.Petersburg, Russia)🇷🇺
Abstract
The renormalization group approach in three dimensions is used to estimate the universal critical value g_6^* of the dimensionless sextic effective coupling constant for the Ising model. The four-loop RG expansion for g_6 is calculated and resummed by means of the Pade-Borel and Pade-Borel-Leroy procedures resulting in g_6^* = 1.596, while the most accurate estimate for g_6^* is argued to be equal to 1.61.
Comments: 6 pages, TeX, no figures