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arXiv · hep-lat/9312061

Damaging 2D Quantum Gravity

C. F. Baillie·D. A. Johnston
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Abstract

We investigate numerically the behaviour of damage spreading in a Kauffman cellular automaton with quenched rules on a dynamical $ϕ^3$ 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 $ϕ^3$ graph coming from a 2D gravity simulation as a means of exploring the graph geometry.

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C. F. Baillie, D. A. Johnston. 1993-12-16. Damaging 2D Quantum Gravity. https://doi.org/10.1016/0370-2693(94)91191-6

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