A formula for boundary correlations of the critical Ising model
نویسندگان
چکیده
Given a finite rhombus tiling of polygonal region in the plane, associated critical Z-invariant Ising model is invariant under star-triangle transformations. We give simple matrix formula describing spin correlations between boundary vertices terms shape region. When regular polygon, our becomes an explicit trigonometric sum.
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2021
ISSN: ['0178-8051', '1432-2064']
DOI: https://doi.org/10.1007/s00440-021-01086-w