Variational approach to the scaling function of the 2D Ising model in a magnetic field

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dc.creatorMangazeev, Vladimir V.
dc.creatorBatchelor, Murray T.
dc.creatorBazhanov, Vladimir V.
dc.creatorDudalev, Michael Yu.
dc.date2008-11-20
dc.date2008-11-28
dc.date.accessioned2026-07-07T12:36:23Z
dc.date.available2026-07-07T12:36:23Z
dc.descriptionThe universal scaling function of the square lattice Ising model in a magnetic field is obtained numerically via Baxter's variational corner transfer matrix approach. The high precision numerical data is in perfect agreement with the remarkable field theory results obtained by Fonseca and Zamolodchikov, as well as with many previously known exact and numerical results for the 2D Ising model. This includes excellent agreement with analytic results for the magnetic susceptibility obtained by Orrick, Nickel, Guttmann and Perk. In general the high precision of the numerical results underlines the potential and full power of the variational corner transfer matrix approach.
dc.description12 pages, 1 figure, 4 tables, v2: minor corrections, references added
dc.identifierhttps://arxiv.org/abs/0811.3271
dc.identifierhttp://arxiv.org/abs/0811.3271
dc.identifierJ.Phys.A42:042005,2009
dc.identifierdoi:10.1088/1751-8113/42/4/042005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218076
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleVariational approach to the scaling function of the 2D Ising model in a magnetic field
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