Multiple Ising spins coupled to 2-d quantum gravity
Apr, 199429 pages
Published in:
- Nucl.Phys.B 427 (1994) 111-138
e-Print:
- hep-th/9404174 [hep-th]
Report number:
- OUTP-94-07-P
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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.- Ising model
- quantum gravity
- dimension: 2
- phi**n model: 3
- field theory: planar
- partition function
- matrix model
- energy
- fractal
- critical phenomena
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