Campostrini, Massimo and Pelissetto, Andrea and Rossi, Paolo and Vicari, Ettore (1996) *A strong-coupling analysis of two-dimensional O(N) sigma models with $N\geq 3$ on square, triangular and honeycomb lattices.* Physical review. D, Particles, fields, gravitation, and cosmology, 54 . p. 1782. ISSN 1550-7998

## Abstract

Recently-generated long strong-coupling series for the two-point Green's functions of asymptotically free ${\rm O}(N)$ lattice $\sigma$ models are analyzed, focusing on the evaluation of dimensionless renormalization-group invariant ratios of physical quantities and applying resummation techniques to series in the inverse temperature $\beta$ and in the energy $E$. Square, triangular, and honeycomb lattices are considered, as a test of universality and in order to estimate systematic errors. Large-$N$ solutions are carefully studied in order to establish benchmarks for series coefficients and resummations. Scaling and universality are verified. All invariant ratios related to the large-distance properties of the two-point functions vary monotonically with $N$, departing from their large-$N$ values only by a few per mille even down to $N=3$.

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

Subjects: | Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici |

Divisions: | Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA |

Depositing User: | dott.ssa Sandra Faita |

Date Deposited: | 11 Feb 2014 22:25 |

Last Modified: | 11 Feb 2014 22:25 |

URI: | http://eprints.adm.unipi.it/id/eprint/1879 |

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