Universal sextic effective interaction at criticality
A. I. Sokolov, E. V. Orlov, V. A. Ul'kov
Abstract
The renormalization group approach in three dimensions is used to estimate the universal critical value g6* of the dimensionless sextic effective coupling constant for the Ising model. The four-loop RG expansion for g6 is calculated and resummed by means of the Pade-Borel and Pade-Borel-Leroy procedures resulting in g6* = 1.596, while the most accurate estimate for g6* is argued to be equal to 1.61.
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