The spectral dimension of 2D quantum gravity
نویسندگان
چکیده
منابع مشابه
The Spectral Dimension of 2D Quantum Gravity
We show that the spectral dimension ds of two-dimensional quantum gravity coupled to Gaussian fields is two for all values of the central charge c ≤ 1. The same arguments provide a simple proof of the known result ds = 4/3 for branched polymers. email [email protected] email [email protected] email [email protected] email [email protected] email [email protected] 1
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The lengths of shortest non-contractible loops are studied numerically in 2d Euclidean quantum gravity on a torus coupled to conformal field theories with central charge less than one. We find that the distribution of these geodesic lengths displays a scaling in agreement with a Hausdorff dimension given by the formula of Y. Watabiki. PACS: 04.60.Ds, 04.60.Kz, 04.06.Nc, 04.62.+v.
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We investigate numerically the behaviour of damage spreading in a Kauffman cellular automaton with quenched rules on a dynamical φ 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...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 1998
ISSN: 1029-8479
DOI: 10.1088/1126-6708/1998/02/010