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

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dc.creatorPakhnin, D. V.
dc.creatorSokolov, A. I.
dc.date1999-12-05
dc.date2000-07-05
dc.date.accessioned2026-07-07T12:01:16Z
dc.date.available2026-07-07T12:01:16Z
dc.descriptionThe 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.
dc.description11 pages, LaTeX, no figures, published version
dc.identifierhttps://arxiv.org/abs/cond-mat/9912071
dc.identifierhttp://arxiv.org/abs/cond-mat/9912071
dc.identifierPhys.Rev.B61:15130-15135,2000
dc.identifierdoi:10.1103/PhysRevB.61.15130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207045
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleFive-loop renormalization-group expansions for the three-dimensional n-vector cubic model and critical exponents for impure Ising systems
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