Pelissetto, Andrea and Vicari, Ettore (2007) *Renormalised four-point coupling constant in the three-dimensional O(N)model with N=0.* Journal of Physics A: Mathematical and General, 40 . F539-F550. ISSN 1361-6447

## Abstract

We simulate self-avoiding walks on a cubic lattice and determine the second virial coefficient for walks of different lengths. This allows us to determine the critical value of the renormalized four-point coupling constant in the three-dimensional N-vector universality class for N=0. We obtain g* = 1.4005(5), where g is normalized so that the three-dimensional field-theoretical beta-function behaves as \beta(g) = - g + g^2 for small g. As a byproduct, we also obtain precise estimates of the interpenetration ratio Psi*, Psi* = 0.24685(11), and of the exponent \nu, \nu = 0.5876(2).

Item Type: | Article |
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Additional Information: | Imported from arXiv |

Subjects: | UNSPECIFIED |

Divisions: | Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI" |

Depositing User: | dott.ssa Sandra Faita |

Date Deposited: | 07 Apr 2015 17:53 |

Last Modified: | 07 Apr 2015 17:53 |

URI: | http://eprints.adm.unipi.it/id/eprint/1747 |

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