Fat and Thin Fisher Zeroes

Details Fat and Thin Fisher Zeroes Fat and Thin Fisher Zeroes

2001-10-15

arxiv.org/abs/hep-lat/0110100v1

Nucl.Phys.Proc.Suppl. 106 (2002) 983-985

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, LaTeX, Lattice2001(surfaces)

Scientific paper

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.

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