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arXiv · hep-th/9404174

Multiple Ising Spins Coupled to 2d Quantum Gravity

M. G. Harris·J. F. Wheater
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Abstract

We study a model in which p independent Ising spins are coupled to 2d quantum gravity (in the form of dynamical planar phi-cubed graphs). Consideration is given to the p tends to infinity limit in which the partition function becomes dominated by certain graphs; we identify most of these graphs. A truncated model is solved exactly providing information about the behaviour of the full model in the limit of small beta. Finally, we derive a bound for the critical value of the coupling constant, beta_c and examine the magnetization transition in the limit p tends to zero.

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M. G. Harris, J. F. Wheater. 1994-04-28. Multiple Ising Spins Coupled to 2d Quantum Gravity. https://doi.org/10.1016/0550-3213(94)90271-2

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