Fat and Thin Fisher Zeroes
High Energy Physics - Lattice
2015-06-25 v1
Abstract
We show that it is possible to determine the locus of Fisher zeroes in the thermodynamic limit for the Ising model on planar (``fat'') phi4 random graphs and their dual quadrangulations by matching up the real part of the high- and low-temperature branches of the expression for the free energy. Similar methods work for the mean-field model on generic, ``thin'' graphs. Series expansions are very easy to obtain for such random graph Ising models.
Cite
@article{arxiv.hep-lat/0110100,
title = {Fat and Thin Fisher Zeroes},
author = {W. Janke and D. Johnston and M. Stathakopoulos},
journal= {arXiv preprint arXiv:hep-lat/0110100},
year = {2015}
}
Comments
3 pages, LaTeX, Lattice2001(surfaces)