2D Quantum Gravity -Three States of Surfaces-

Details 2D Quantum Gravity -Three States of Surfaces- 2D Quantum Gravity -Three States of Surfaces-

1996-03-18

arxiv.org/abs/hep-lat/9603013v1

Int.J.Mod.Phys. A13 (1998) 583-605

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 14 Postscript figures, uses psfig.sty and cite.sty

Scientific paper

10.1142/S0217751X98000251

Two-dimensional random surfaces are studied numerically by the dynamical triangulation method. In order to generate various kinds of random surfaces, two higher derivative terms are added to the action. The phases of surfaces in the two-dimensional parameter space are classified into three states: flat, crumpled surface, and branched polymer. In addition, there exists a special point (pure gravity) corresponding to the universal fractal surface. A new probe to detect branched polymers is proposed, which makes use of the minbu(minimum neck baby universe) analysis. This method can clearly distinguish the branched polymer phase from another according to the sizes and arrangements of baby universes. The size distribution of baby universes changes drastically at the transition point between the branched polymer and other kind of surface. The phases of surfaces coupled with multi-Ising spins are studied in a similar manner.

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