Two-point functions in boundary loop models
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.
Fields of Study & Subjects
Stochastic processes and statistical mechanics
Theoretical and Computational Physics
Algebraic structures and combinatorial models
Publication details
- Journal / source
- HAL
- Publication date
- 12 February 2026
- Language
- EN
- Document type
- Preprint