The quantum space-time of c=-2 gravity

Details The quantum space-time of c=-2 gravity The quantum space-time of c=-2 gravity

1997-06-09

arxiv.org/abs/hep-lat/9706009v1

Nucl.Phys. B511 (1998) 673-710

Physics

High Energy Physics

High Energy Physics - Lattice

46 pages, 16 figures, 32 eps files, using psfig.sty and epsf.sty

Scientific paper

10.1016/S0550-3213(97)00659-7

We study the fractal structure of space-time of two-dimensional quantum gravity coupled to c=-2 conformal matter by means of computer simulations. We find that the intrinsic Hausdorff dimension d_H = 3.58 +/- 0.04. This result supports the conjecture d_H = -2 \alpha_1/\alpha_{-1}, where \alpha_n is the gravitational dressing exponent of a spinless primary field of conformal weight (n+1,n+1), and it disfavours the alternative prediction d_H = 2/|\gamma|. On the other hand ~ r^{2n} for n>1 with good accuracy, i.e. the boundary length l has an anomalous dimension relative to the area of the surface.

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