A Real-Space Renormalization Group for Random Surfaces

Details A Real-Space Renormalization Group for Random Surfaces A Real-Space Renormalization Group for Random Surfaces

1995-10-03

arxiv.org/abs/hep-lat/9510003v1

Nucl.Phys. B461 (1996) 350-370

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 8 figures

Scientific paper

10.1016/0550-3213(95)00664-8

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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