# Beyond the c=1 barrier in two-dimensional quantum gravity

Thorleifsson G, Petersson B (1998)

In: NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. 63. ELSEVIER SCIENCE BV: 745-747.

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Thorleifsson, G
;
Petersson, Bengt

^{UniBi}Abstract

We introduce a simple model of touchingrandom 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 less than or equal to 1, this model has a phase transition to branched polymers, for sufficiently large p. For c 2, however, 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 c less than or equal to 1, is dominated by finite size effects, which are exponentially enhanced as c --> 1(+).

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### Cite this

Thorleifsson G, Petersson B. Beyond the c=1 barrier in two-dimensional quantum gravity. In:

*NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS*. Vol 63. ELSEVIER SCIENCE BV; 1998: 745-747.Thorleifsson, G., & Petersson, B. (1998). Beyond the c=1 barrier in two-dimensional quantum gravity.

*NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS*,*63*, 745-747.Thorleifsson, G., and Petersson, B. (1998). “Beyond the c=1 barrier in two-dimensional quantum gravity” in

*NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS*, vol. 63, (ELSEVIER SCIENCE BV), 745-747.Thorleifsson, G., & Petersson, B., 1998. Beyond the c=1 barrier in two-dimensional quantum gravity. In

*NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS*. no.63 ELSEVIER SCIENCE BV, pp. 745-747.G. Thorleifsson and B. Petersson, “Beyond the c=1 barrier in two-dimensional quantum gravity”,

*NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS*, vol. 63, ELSEVIER SCIENCE BV, 1998, pp.745-747.Thorleifsson, G., Petersson, B.: Beyond the c=1 barrier in two-dimensional quantum gravity. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. 63, p. 745-747. ELSEVIER SCIENCE BV (1998).

Thorleifsson, G, and Petersson, Bengt. “Beyond the c=1 barrier in two-dimensional quantum gravity”.

*NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS*. ELSEVIER SCIENCE BV, 1998.Vol. 63. 745-747.
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arXiv hep-lat/9709072

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