Fat and Thin Fisher Zeroes
arXiv:hep-lat/0110100 · doi:10.1016/S0920-5632(01)01905-3
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.
3 pages, LaTeX, Lattice2001(surfaces)