Loop models, Marginally Rough Interfaces, and the Coulomb Gas
Condensed Matter
2015-06-25 v1 High Energy Physics - Theory
Abstract
We develop a coarse-graining procedure for two-dimensional models of fluctuating loops by mapping them to interface models. The result is an effective field theory for the scaling limit of loop models, which is found to be a Liouville theory with imaginary couplings. This field theory is {\it completely specified} by geometry and conformal invariance {\it alone}, and it leads to exact results for the critical exponents and the conformal charge of loop models. A physical interpretation of the Dotsenko-Fateev screening charge is found.
Keywords
Cite
@article{arxiv.cond-mat/9607181,
title = {Loop models, Marginally Rough Interfaces, and the Coulomb Gas},
author = {Jane' Kondev},
journal= {arXiv preprint arXiv:cond-mat/9607181},
year = {2015}
}
Comments
LaTex, 7 pages, 1 PostScript figure; uses epsf.sty. To appear in the proceedings of the symposium''Exactly soluable models in Statistical Mechanics'', March 1996, Northeastern University, Boston