Two-point functions in boundary loop models
Mathematical Physics
2026-02-13 v1 Statistical Mechanics
High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.2602.12000,
title = {Two-point functions in boundary loop models},
author = {Max Downing and Jesper Lykke Jacobsen and Rongvoram Nivesvivat and Hubert Saleur},
journal= {arXiv preprint arXiv:2602.12000},
year = {2026}
}
Comments
v1, 5 pages