Beyond the c = 1 barrier in two-dimensional quantum gravity
Sep, 19975 pages
Part of Proceedings, 15th International Symposium on Lattice Field Theory (Lattice 1997) : Edinburgh, UK, July 22-26, 1997, 745-747
Published in:
- Nucl.Phys.B Proc.Suppl. 63 (1998) 745-747
Contribution to:
- , 745-747
- Lattice 1997
e-Print:
- hep-lat/9709072 [hep-lat]
Report number:
- BI-TH-97-38
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Abstract:
We introduce a simple model of touching random surfaces, by adding a chemical potential rho for ``minimal necks'', and study this model numerically coupled to a Gaussian model in d-dimensions (for central charge c = d = 0, 1 and 2). For c <= 1, this model has a phase transition to branched polymers, for sufficiently large rho. For c = 2, however, the extensive simulations indicate that this transition is replaced by a cross-over behavior on finite lattices --- the model is always in the branched polymer phase. This supports recent speculations that, in 2d-gravity, the behavior observe in simulations for , is dominated by finite size effects, which are exponentially enhanced as c -> 1+.- quantum gravity
- dimension: 2
- random surface
- potential: chemical
- Gauss model: any-dimensional
- central charge: 0-2
- critical phenomena
- model: polymer
- lattice field theory
- scaling: finite size
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