Boundary height fields in the Abelian sandpile model
High Energy Physics - Theory
2009-11-10 v1 Other Condensed Matter
Statistical Mechanics
Abstract
We study the abelian sandpile model on the upper half plane, and reconsider the correlations of the four height variables lying on the boundary. For more convenience, we carry out the analysis in the dissipative (massive) extension of the model and identify the boundary scaling fields corresponding to the four heights. We find that they all can be accounted for by the massive pertubation of a c=-2 logarithmic conformal field theory.
Cite
@article{arxiv.hep-th/0409126,
title = {Boundary height fields in the Abelian sandpile model},
author = {Geoffroy Piroux and Philippe Ruelle},
journal= {arXiv preprint arXiv:hep-th/0409126},
year = {2009}
}
Comments
19 pages, 3 figures