Boundary monomers in the dimer model
Statistical Mechanics
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The correlation functions of an arbitrary number of boundary monomers in the system of close-packed dimers on the square lattice are computed exactly in the scaling limit. The equivalence of the 2n-point correlation functions with those of a complex free fermion is proved, thereby reinforcing the description of the monomer-dimer model by a conformal free field theory with central charge c=1.
Cite
@article{arxiv.0803.2652,
title = {Boundary monomers in the dimer model},
author = {Vyatcheslav B. Priezzhev and Philippe Ruelle},
journal= {arXiv preprint arXiv:0803.2652},
year = {2008}
}
Comments
15 pages, 2 figures