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A Two Term Truncation of the Multiple Ising Model Coupled to 2d Gravity

Martin G. Harris
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Abstract

We consider a model of p independent Ising spins on a dynamical planar phi-cubed graph. Truncating the free energy to two terms yields an exactly solvable model that has a third order phase transition from a pure gravity region (gamma=-1/2) to a tree-like region (gamma=1/2), with gamma=1/3 on the critical line. We are able to make an order of magnitude estimate of the value of p above which there exists a branched polymer (ie tree-like) phase in the full model, that is, p is approximately 13-23, which corresponds to a central charge c of about 6-12.

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Martin G. Harris. 1995-02-06. A Two Term Truncation of the Multiple Ising Model Coupled to 2d Gravity. https://doi.org/10.1142/s021773239600059x

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