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arXiv · 2602.12000

Two-point functions in boundary loop models

Max Downing·Jesper Lykke Jacobsen·Rongvoram Nivesvivat·Hubert Saleur
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Abstract

Using techniques of conformal bootstrap, we propose analytical expressions for a large class of two-point functions of bulk fields in critical loop models defined on the upper-half plane. Our results include the two-point connectivities in the Fortuin--Kasteleyn random cluster model with both free and wired boundary conditions. We link the continuum expressions to lattice quantities by computing universal ratios of amplitudes for the two-point connectivities, and find excellent agreement with transfer-matrix numerics.

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Max Downing, Jesper Lykke Jacobsen, Rongvoram Nivesvivat, Hubert Saleur. 2026-02-12. Two-point functions in boundary loop models. https://arxiv.org/abs/2602.12000

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