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
Main Author: Rafael Leon Greenblatt
Format: Article
Language:English
Published: SciPost 2025-02-01
Series:SciPost Physics Core
Online Access:https://scipost.org/SciPostPhysCore.8.1.017
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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:2666-9366