English

Universal sextic effective interaction at criticality

Statistical Mechanics 2009-10-31 v1 High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.cond-mat/9803357,
  title  = {Universal sextic effective interaction at criticality},
  author = {A. I. Sokolov and E. V. Orlov and V. A. Ul'kov},
  journal= {arXiv preprint arXiv:cond-mat/9803357},
  year   = {2009}
}

Comments

6 pages, TeX, no figures