Exact factorization of correlation functions in 2-D critical percolation
Mathematical Physics
2008-11-26 v2 Disordered Systems and Neural Networks
Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
By use of conformal field theory, we discover several exact factorizations of higher-order density correlation functions in critical two-dimensional percolation. Our formulas are valid in the upper half-plane, or any conformally equivalent region. We find excellent agreement of our results with high-precision computer simulations. There are indications that our formulas hold more generally.
Cite
@article{arxiv.0706.4105,
title = {Exact factorization of correlation functions in 2-D critical percolation},
author = {Jacob J. H. Simmons and Peter Kleban and Robert M. Ziff},
journal= {arXiv preprint arXiv:0706.4105},
year = {2008}
}