Multiple Ising Spins Coupled to 2d Quantum Gravity

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.

29 pages, Latex, OUTP 9407P

References in corpus (7)

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• Two Ising Models Coupled to 2-Dimensional Gravity
• Exponent of n-Ising matter fields coupled to 2d gravity
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