DOI: https://doi.org/10.30970/jps.03.280
RENORMALIZATION GROUP AND SEXTIC EFFECTIVE INTERACTION FOR THE TWO-DIMENSIONAL ISING MODEL
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Journal of Physical Studies 3(3), 280–283 (1999)
DOI: https://doi.org/10.30970/jps.03.280 RENORMALIZATION GROUP AND SEXTIC EFFECTIVE INTERACTION FOR THE TWO-DIMENSIONAL ISING MODEL |
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A. I. Sokolov, E. V. Orlov
Department of Physical Electronics,
Saint Petersburg Electrotechnical University,
5 Professor Popov Str., St. Petersburg, 197376, Russia
The universal critical value $g_6^*$ of the renormalized sextic coupling constant entering the equation of state of the two–dimensional Ising model is estimated within the renormalization–group approach. Four–loop RG expansion for $g_6$ is calculated and resummed by means of the Padé–Borel–Leroy technique. The estimated $g_6^* = 1.10$ is obtained which agree quite well with that deduced recently by Zinn, Lai, and Fisher from the high–temperature expansions.