### Abstract

The phase structure of a dynamically triangulated random surface model, the action containing extrinsic curvature, is investigated using Monte Carlo techniques. Our simulations are carried out in D=3 and compare the behaviour of the model for two different forms of the discrete curvature term. With the first, essentially (δX)^{2}, we observe a third order transition near β≈0.7, where β is the associated coupling. The phase structure of the model with the second type, Σ(1-cosθ_{ij}) proves markedly different, a strong second order phase transition is presented at finite β, leading to the possibility of a new continuum limit for the model. We discuss the implications of these results for continuum surfaces.

Original language | English (US) |
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Pages (from-to) | 207-214 |

Number of pages | 8 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 220 |

Issue number | 1-2 |

DOIs | |

State | Published - Mar 30 1989 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics