Suppressing Curvature Fluctuations in Dynamical Triangulations

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Talk presented at LATTICE96(gravity), 3 pages, LaTeX, espcrc2.sty, 1 figure

Scientific paper

10.1016/S0920-5632(96)00772-4

We study numerically the dynamical triangulation formulation of two-dimensional quantum gravity using a restricted class of triangulation, so-called minimal triangulations, in which only vertices of coordination number 5, 6, and 7 are allowed. A real-space RG analysis shows that for pure gravity (central charge c = 0) this restriction does not affect the critical behavior of the model. Furthermore, we show that the critical behavior of an Ising model coupled to minimal dynamical triangulations (c = 1/2) is still governed by the KPZ-exponents.

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