Exact expressions for correlations in the ground state of the dense O ( 1 ) loop model

@inproceedings{Mitra2004ExactEF,
title={Exact expressions for correlations in the ground state of the dense O ( 1 ) loop model},
author={Subhadip Mitra and Bernard Nienhuis and Jan de Gier and Murray T Batchelor},
year={2004}
}

Conjectures for analytical expressions for correlations in the dense O(1) loop model on semi-infinite square lattices are given. We have obtained these results for four types of boundary conditions. Periodic and reflecting boundary conditions have been considered before. We give many new conjectures for these two cases and review some of the existing results. We also consider boundaries on which loops can end. We call such boundaries ‘open’. We have obtained expressions for correlations when… CONTINUE READING