Pelissetto, A. and Vicari, E. (2000) *The effective potential of N-vector models: a field-theoretic study to O(ε^3).* Nuclear Physics B, 575 . p. 579. ISSN 1873-1562

## Abstract

We study the effective potential of three-dimensional O($N$) models. In statistical physics the effective potential represents the free-energy density as a function of the order parameter (Helmholtz free energy), and, therefore, it is related to the equation of state. In particular, we consider its small-field expansion in the symmetric (high-temperature) phase, whose coefficients are related to the zero-momentum $2j$-point renormalized coupling constants $g_{2j}$. For generic values of $N$, we calculate $g_{2j}$ to three loops in the field-theoretic approach based on the $\epsilon$-expansion. The estimates of $g_{2j}$, or equivalently of $r_{2j}\equiv g_{2j}/g_4^{j-1}$, are obtained by a constrained analysis of the series that takes into account the exact results in one and zero dimensions.

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: | 14 Feb 2014 12:54 |

Last Modified: | 14 Feb 2014 12:54 |

URI: | http://eprints.adm.unipi.it/id/eprint/1741 |

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