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Universal sextic effective interaction at criticality

A. I. Sokolov·E. V. Orlov·V. A. Ul'kov
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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.

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A. I. Sokolov, E. V. Orlov, V. A. Ul'kov. 1998-03-30. Universal sextic effective interaction at criticality. https://doi.org/10.1016/s0375-9601(97)00049-2

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