### Abstract

The dynamical triangulation model of three-dimensional quantum gravity is shown to have a line of transitions in an expanded phase diagram which includes a coupling μ to the order of the vertices. Monte Carlo renormalization group and finite size scaling techniques are used to locate and characterize this line. Our results indicate that for μ < μ_{1} ∼ - 1.0 the model is always in a crumpled phase independent of the value of the curvature coupling. For μ < 0 the results are in agreement with an approximate mean field treatment. We find evidence that this line corresponds to first-order transitions extending to positive μ. However, the behavior appears to change for μ > μ_{2} ∼ 2.0-4.0. The simplest scenario that is consistent with the data is the existence of a critical end point.

Original language | English (US) |
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Pages (from-to) | 553-568 |

Number of pages | 16 |

Journal | Nuclear Physics B |

Volume | 523 |

Issue number | 3 |

DOIs | |

State | Published - Jul 20 1998 |

### Keywords

- Dynamical triangulations
- Quantum gravity
- Renormalization group

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

*Nuclear Physics B*,

*523*(3), 553-568. https://doi.org/10.1016/S0550-3213(98)00142-4