### Abstract

The author uses a recently developed Monte Carlo method to study the connective constant of the self-avoiding walk (SAW) on the triangular lattice. Assuming gamma =43/32 one finds mu _{T}=4.15096+or-0.00010+or-0.00026 (95% confidence limits) and mu _{T}=4.15096+or-0.00020+or-0.00037 (99% confidence limits), where the first error bar represents systematic error due to corrections to scaling and the second error bar represents statistical error. This rules out the conjecture mu _{T}+ mu _{H}=6 at the greater than 99% confidence level.

Original language | English (US) |
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Article number | 024 |

Pages (from-to) | 2591-2598 |

Number of pages | 8 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 19 |

Issue number | 13 |

DOIs | |

State | Published - 1986 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)

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## Cite this

Guttmann, A. J., Osborn, T. R., & Sokal, A. D. (1986). Connective constant of the self-avoiding walk on the triangular lattice.

*Journal of Physics A: Mathematical and General*,*19*(13), 2591-2598. [024]. https://doi.org/10.1088/0305-4470/19/13/024