Numerical Study of c>1 Matter Coupled to Quantum Gravity

Details Numerical Study of c>1 Matter Coupled to Quantum Gravity Numerical Study of c>1 Matter Coupled to Quantum Gravity

1992-06-24

arxiv.org/abs/hep-lat/9206021v1

Phys.Lett. B292 (1992) 277-282

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages

Scientific paper

10.1016/0370-2693(92)91175-9

We present the results of a numerical simulation aimed at understanding the nature of the `c = 1 barrier' in two dimensional quantum gravity. We study multiple Ising models living on dynamical $\phi^3$ graphs and analyse the behaviour of moments of the graph loop distribution. We notice a universality at work as the average properties of typical graphs from the ensemble are determined only by the central charge. We further argue that the qualitative nature of these results can be understood from considering the effect of fluctuations about a mean field solution in the Ising sector.

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