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Internal geometry of two-dimensional gravity with C = −2 matter

1992; Elsevier BV; Volume: 26; Linguagem: Inglês

10.1016/0920-5632(92)90341-o

1873-3832

Noboru Kawamoto, Vladimir Kazakov, Y. Saeki, Y. Watabiki,

Particle physics theoretical and experimental studies

We investigate numerically the internal geometry of dynamically triangulated two-dimensional quantum gravity coupled to c = −2 matter. The largest lattice consists of 5 × 106 triangles. Such a large lattice can be generated by applying a recursive sampling algorithm for the c = −2 model. The typical surfaces in our model are strongly branched and the number of these branches as a function of the internal geodesic distance shows a clear scaling behavior. Our results show that the internal fractal dimension of the model is approximately 3.55.