Exact factorization of correlation functions in two-dimensional critical percolation.
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.
Simmons
Jacob J H
JJ
LASST and Department of Physics & Astronomy, University of Maine, Orono, Maine 04469, USA. j.simmons1@physics.ox.ac.uk
Kleban
Peter
P
Ziff
Robert M
RM