Universal sextic effective interaction at criticality

1997
6 pages
Published in:
  • Phys.Lett.A 227 (1997) 255-258
e-Print:

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Abstract: (arXiv)
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.
Note:
  • 6 pages, TeX, no figures Subj-class: Statistical Mechanics Journal-ref: Phys. Lett. A, 227 (1997) 255-258