The boundary disorder correlation for the Ising model on a cylinder

I give an expression for the correlation function of disorder insertions on the edges of the critical Ising model on a cylinder as a function of the aspect ratio (rescaled in the case of anisotropic couplings). This is obtained from an expression for the finite size scaling term in the free energy o...

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Bibliographic Details
Published inarXiv.org
Main Author Rafael Leon Greenblatt
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 08.07.2024
Subjects
Aspect ratio
Boundary conditions
Correlation
Couplings
Cylinders
Free energy
Ising model
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Summary:I give an expression for the correlation function of disorder insertions on the edges of the critical Ising model on a cylinder as a function of the aspect ratio (rescaled in the case of anisotropic couplings). This is obtained from an expression for the finite size scaling term in the free energy on a cylinder in periodic and antiperiodic boundary conditions in terms of Jacobi theta functions.
ISSN:2331-8422