A Real-Space Renormalization Group for Random Surfaces

G. Thorleifsson; S. Catterall

doi:10.1016/0550-3213(95)00664-8

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arXiv · hep-lat/9510003

A Real-Space Renormalization Group for Random Surfaces

G. Thorleifsson·S. Catterall

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Abstract

We propose a new real-space renormalization group transformation for dynamical triangulations. It is shown to preserve geometrical exponents such as the string susceptibility and Hausdorff dimension. We furthermore show evidence for a fixed point structure both in pure gravity and gravity coupled to a critical Ising system. In the latter case we are able to extract estimates for the gravitationally dressed exponents which agree to within 2-3% of the KPZ formula.

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G. Thorleifsson, S. Catterall. 1995-10-03. A Real-Space Renormalization Group for Random Surfaces. https://doi.org/10.1016/0550-3213(95)00664-8

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