Fractal structure of two-dimensional gravity coupled to c = -2 matter

Details Fractal structure of two-dimensional gravity coupled to c = -2 matter Fractal structure of two-dimensional gravity coupled to c = -2 matter

Apr 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvl..68.2113k&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 68, April 6, 1992, p. 2113-2116.

Physics

30

Fractals, Gravitation Theory, Quantum Theory, Scaling Laws, Fermions, Field Theory (Physics), Weighting Functions

Scientific paper

The results of numerical calculations of internal fractal dimensions of a dynamically triangulated 2D gravity coupled to c = -2 matter are presented. Internal fractal dimensions as a function of the internal geodesic distance are measured from the number of boundaries and the total length of boundaries, and show clear scaling behavior, while the number of triangles starts to scale only around the maximum size. A recursive sampling algorithm for c = -2 is applied, which makes it possible to generate the most probable triangulations of spherical topology, consisting of 5 x 10 exp 6 triangles.

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