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Universal critical coupling constants for the three-dimensional n-vector model from field theory | | A. I. Sokolov
; E. V. Orlov
; V. A. Ul’kov
; S. S. Kashtanov
; | | Date: |
12 Oct 1998 | | Journal: | Phys. Rev. E 60, 1344-1349 (1999) | | Subject: | hep-th cond-mat hep-lat hep-ph | | Affiliation: | Saint Petersburg Electrotechnical University, St. Petersburg, Russia | | Abstract: | The field-theoretical renormalization group approach in three dimensions is used to estimate the universal critical values of renormalized coupling constants g_6 and g_8 for the O(n)-symmetric model. The RG series for g_6 and g_8 are calculated in the four-loop and three-loop approximations respectively and then 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 numerical estimates for the universal critical values g_6^*(n) are obtained for n = 1, 2, 3,...40 with the accuracy no worse than 0.3%. The RG expansion for g_8 demonstrates stronger divergence and results in considerably cruder numerical estimates. They are found to be consistent with the values of g_8^* deduced from the exact RG equations and, for n > 8, with those given by a constrained analysis of corresponding epsilon-expansion. | | Source: | arXiv, hep-th/9810082 | | Services: | Forum | Review | PDF | Favorites | |
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