Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
Statistical Mechanics
2018-12-24 v2 High Energy Physics - Theory
Abstract
We conjecture an exact form for an universal ratio of four-point cluster connectivities in the critical two-dimensional -color Potts model. We also provide analogous results for the limit that corresponds to percolation where the observable has a logarithmic singularity. Our conjectures are tested against Monte Carlo simulations showing excellent agreement for .
Cite
@article{arxiv.1806.02330,
title = {Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance},
author = {Giacomo Gori and Jacopo Viti},
journal= {arXiv preprint arXiv:1806.02330},
year = {2018}
}
Comments
29 pages, 9 Figures. Published version: improved discussion, additional numerical tests and references