Damaging 2D Quantum Gravity

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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6 pages, COLO-HEP-332;LPTHE-Orsay-93-50

Scientific paper

10.1016/0370-2693(94)91191-6

We investigate numerically the behaviour of damage spreading in a Kauffman cellular automaton with quenched rules on a dynamical $\phi^3$ graph, which is equivalent to coupling the model to discretized 2D gravity. The model is interesting from the cellular automaton point of view as it lies midway between a fully quenched automaton with fixed rules and fixed connectivity and a (soluble) fully annealed automaton with varying rules and varying connectivity. In addition, we simulate the automaton on a fixed $\phi^3$ graph coming from a 2D gravity simulation as a means of exploring the graph geometry.

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