Exact Finite Size Results on the Ising Model in 2D Curved Space
High Energy Physics - Theory
2007-05-23 v1
Abstract
We propose an approach to statistical systems on lattices with sphere-like topology. Focusing on the Ising model, we consider the thermodynamic limit along a sequence of lattices which preserve the {\em fixed} large scale geometry. The hypothesis of scaling appears to hold at criticality, pointing at a sensible definition of the continuum limit of the model in the curved space.
Cite
@article{arxiv.hep-th/9301057,
title = {Exact Finite Size Results on the Ising Model in 2D Curved Space},
author = {J. Gonzalez and M. A. Martin-Delgado},
journal= {arXiv preprint arXiv:hep-th/9301057},
year = {2007}
}
Comments
18 pages (uses LaTeX and epsf), 6 figures included (4 in postscript files encoded through uufiles), PUPT-1367