Random Geometries and Real Space Renormalization Group

Details Random Geometries and Real Space Renormalization Group Random Geometries and Real Space Renormalization Group

1994-07-25

arxiv.org/abs/hep-lat/9407018v3

Nucl.Phys.Proc.Suppl. 42 (1995) 728-730

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 8 pages + 2 postscript figures, LPTHE-Orsay-94-70 (SHORTENED VERSION OF ORIGINAL - TO APPEAR IN PROCEEDINGS OF LATTICE

Scientific paper

10.1016/0920-5632(95)00364-F

A method of ``blocking'' triangulations that rests on the self-similarity feature of dynamically triangulated random manifolds is proposed. The method is used to define the renormalization group for random geometries. As an illustration, the idea is applied to pure euclidean quantum gravity in two dimensions. Generalisation to more complicated systems and to higher dimensionalities of space-time appears straightforward.

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