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Renormalized sextic coupling constant for the two-dimensional Ising model from field theory | | A. I. Sokolov
; E. V. Orlov
; | | Date: |
1 Apr 1998 | | Journal: | Phys.Rev. B58 (1998) 2395-2398 | | Subject: | Statistical Mechanics | cond-mat.stat-mech hep-lat hep-ph hep-th | | Affiliation: | Saint Petersburg Electrotechnical University, St. Petersburg, Russia | | Abstract: | The field-theoretical renormalization group approach is used to estimate the universal critical value g_6^* of renormalized sextic coupling constant for the two-dimensional Ising model. Four-loop perturbative expansion for g_6 is calculated and resummed by means of the Pade-Borel-Leroy technique. Under the optimal value of the shift parameter b providing the fastest convergence of the iteration procedure the estimates g_6^* = 1.10, g_6^*/{g_4^*}^2 = 2.94 are obtained which agree quite well with those deduced recently by S.-Y. Zinn, S.-N. Lai, and M. E. Fisher (Phys. Rev. E 54 (1996) 1176) from the high-temperature expansions. | | Source: | arXiv, cond-mat/9804008 | | Services: | Forum | Review | PDF | Favorites | |
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