Heriot-Watt Mathematics Report Series
HWM97-19, 9 May 1997
Percolation on a Feynman Diagram
D. A. Johnston and P. Plechac
Abstract
In a recent paper HWM97-11 we investigated Potts models
on generic Feynman diagrams, using
the idea that such models may be expressed as the N -> 1
limit of a matrix model. The models displayed
first order transitions
for all q greater than 2, giving identical behaviour to
the corresponding Bethe lattice.
We use here one of the results of HWM97-11,
namely a general saddle point solution for a q-state Potts
model expressed as a function of q, to investigate some
peculiar features of the percolative limit q ->1.
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Full text: http://www.ma.hw.ac.uk/~des/perc.ps
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