Duality symmetry, strong coupling expansion and universal critical amplitudes in two-dimensional Φ^{4} field models

Simple item page
dc.creatorJug, Giancarlo
dc.creatorShalaev, Boris N.
dc.date1999-08-04
dc.date.accessioned2026-07-07T11:34:17Z
dc.date.available2026-07-07T11:34:17Z
dc.descriptionWe show that the exact beta-function β(g) in the continuous 2D gΦ^{4} model possesses the Kramers-Wannier duality symmetry. The duality symmetry transformation \tilde{g}=d(g) such that β(d(g))=d'(g)β(g) is constructed and the approximate values of g^{*} computed from the duality equation d(g^{*})=g^{*} are shown to agree with the available numerical results. The calculation of the beta-function β(g) for the 2D scalar gΦ^{4} field theory based on the strong coupling expansion is developed and the expansion of β(g) in powers of g^{-1} is obtained up to order g^{-8}. The numerical values calculated for the renormalized coupling constant g_{+}^{*} are in reasonable good agreement with the best modern estimates recently obtained from the high-temperature series expansion and with those known from the perturbative four-loop renormalization-group calculations. The application of Cardy's theorem for calculating the renormalized isothermal coupling constant g_{c} of the 2D Ising model and the related universal critical amplitudes is also discussed.
dc.description16 pages, REVTeX, to be published in J.Phys.A:Math.Gen
dc.identifierhttps://arxiv.org/abs/cond-mat/9908068
dc.identifierhttp://arxiv.org/abs/cond-mat/9908068
dc.identifierJ.Phys.A32:7249-7261,1999
dc.identifierdoi:10.1088/0305-4470/32/42/302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198191
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleDuality symmetry, strong coupling expansion and universal critical amplitudes in two-dimensional Φ^{4} field models
dc.typetext

Files

Collections

arXiv