On free energy of three-dimensional Ising model at criticality

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dc.creatorSokolov, A. I.
dc.creatorUl'kov, V. A.
dc.creatorOrlov, E. V.
dc.date1998-03-28
dc.date.accessioned2026-07-07T03:10:15Z
dc.date.available2026-07-07T03:10:15Z
dc.descriptionHigher-order vertices at zero external momenta for the scalar field theory describing the critical behaviour of the Ising model are studied within the field-theoretical renormalization group (RG) approach in three dimensions. Dimensionless six-point g_6 and eight-point g_8 effective coupling constants are calculated in the three-loop approximation. Their numerical values, universal at criticality, are estimated by means of the Pade and Pade-Borel summation of the RG expansions found and by putting the renormalized quartic coupling constant equal to its universal fixed-point value known from six-loop RG calculations. The values of g_6^* obtained are compared with their analogs resulting from the ε-expansion, Monte Carlo simulations, the Wegner--Houghton equations and the linked cluster expansion series. The field-theoretical estimates for g_6^* are shown to be in a good agreement with each other, differing considerably from the values given by other methods.
dc.description7 pages, TeX, no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9803352
dc.identifierhttp://arxiv.org/abs/cond-mat/9803352
dc.identifierJ. Phys. Studies 1 (1997) 362-365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28179
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleOn free energy of three-dimensional Ising model at criticality
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