Five-loop renormalization-group expansions for the three-dimensional n-vector cubic model and critical exponents for impure Ising systems

Abstract

The renormalization-group (RG) functions for the three-dimensional n-vector cubic model are calculated in the five-loop approximation. High-precision numerical estimates for the asymptotic critical exponents of the three-dimensional impure Ising systems are extracted from the five-loop RG series by means of the Pade-Borel-Leroy resummation under n = 0. These exponents are found to be: γ= 1.325 +/- 0.003, η= 0.025 +/- 0.01, ν= 0.671 +/- 0.005, α= - 0.0125 +/- 0.008, β= 0.344 +/- 0.006. For the correction-to-scaling exponent, the less accurate estimate ω= 0.32 +/- 0.06 is obtained.

11 pages, LaTeX, no figures, published version

References in corpus (2)

• Effective and Asymptotic Critical Exponents of Weakly Diluted Quenched Ising Model: 3d Approach Versus ${\epsilon }^{1/2}$-Expansion
• Stability of a cubic fixed point in three dimensions. Critical exponents for generic N

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