Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions

W. Janke, Ralph Kenna

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Abstract

The two-dimensional Ising model with Brascamp-Kunz boundary conditions has a partition function more amenable to analysis than its counterpart on a torus. This fact is exploited to exactly determine the full finite-size scaling behaviour of the Fisher zeroes of the model. Moreover, exact results are also determined for the scaling of the specific heat at criticality, for the specific-heat peak and for the pseudocritical points. All corrections to scaling are found to be analytic and the shift exponent λ does not coincide with the inverse of the correlation length exponent 1/ν.
Original languageEnglish
Pages (from-to)929-931
JournalNuclear Physics B - Proceedings Supplements
Volume106-107
DOIs
Publication statusPublished - Mar 2002

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Bibliographical note

The full text is also available from: http://de.arxiv.org/abs/hep-lat/0112037
NOTICE: this is the author’s version of a work that was accepted for publication in Nuclear
Physics B - Proceedings Supplements. Changes resulting from the publishing process, such
as peer review, editing, corrections, structural formatting, and other quality control
mechanisms may not be reflected in this document. Changes may have been made to this
work since it was submitted for publication. A definitive version was subsequently
published in Nuclear Physics B - Proceedings Supplements, [106-107, 2002] DOI:
10.1016/S0920-5632(01)01889-8
© 2002, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-
NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

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