Intrinsic Geometric Structure of c=-2 Quantum Gravity

Details Intrinsic Geometric Structure of c=-2 Quantum Gravity Intrinsic Geometric Structure of c=-2 Quantum Gravity

1997-09-18

arxiv.org/abs/hep-lat/9709063v1

Nucl.Phys.Proc.Suppl. 63 (1998) 748-750

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 4 figures, to appear in Lattice 97 proceedings Nucl.Phys.B(Proc.Suppl.)

Scientific paper

10.1016/S0920-5632(97)00892-X

We couple c=-2 matter to 2-dimensional gravity within the framework of dynamical triangulations. We use a very fast algorithm, special to the c=-2 case, in order to test scaling of correlation functions defined in terms of geodesic distance and we determine the fractal dimension d_H with high accuracy. We find d_H=3.58(4), consistent with a prediction coming from the study of diffusion in the context of Liouville theory, and that the quantum space-time possesses the same fractal properties at all distance scales similarly to the case of pure gravity.

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