Renormalized sextic coupling constant for the two-dimensional Ising model from field theory

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.

8 pages, LaTeX, no figures, published version

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Cited by in corpus (11)

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• Universal critical coupling constants for the three-dimensional n-vector model from field theory
• Pseudo-$\epsilon$ Expansion and Renormalized Coupling Constants at Criticality
• Pseudo-epsilon expansion and the two-dimensional Ising model
• Effective potential of the three-dimensional Ising model: the pseudo-$\epsilon$ expansion study
• Critical renormalized coupling constants in the symmetric phase of the Ising models
• Cumulant ratios and their scaling functions for Ising systems in strip geometries
• Universal effective couplings of the three-dimensional $n$-vector model and field theory
• The behavior of the sextic coupling for the scalar field at the intermediate and strong coupling regime