Butti, Agostino and Toldin, Francesco Parisen and Pelissetto, Andrea and Vicari, Ettore (2005) *The scaling equation of state of the three-dimensional O(N) universality class: N >= 4.* Nuclear Physics B - Proceedings Supplements, 140 . pp. 808-810. ISSN 1873-3832

## Abstract

We determine the critical equation of state of the three-dimensional O(N) universality class, for N=4, 5, 6, 32, 64. The N=4 is relevant for the chiral phase transition in QCD with two flavors, the N=5 model is relevant for the SO(5) theory of high-T_c superconductivity, while the N=6 model is relevant for the chiral phase transition in two-color QCD with two flavors. We first consider the small-field expansion of the effective potential (Helmholtz free energy). Then, we apply a systematic approximation scheme based on polynomial parametric representations that are valid in the whole critical regime, satisfy the correct analytic properties (Griffiths' analyticity), take into account the Goldstone singularities at the coexistence curve, and match the small-field expansion of the effective potential. From the approximate representations of the equation of state, we obtain estimates of universal amplitude ratios. We also compare our approximate solutions with those obtained in the large-N expansion, up to order 1/N, finding good agreement for N \gtrsim 32.

Item Type: | Article |
---|---|

Additional Information: | Imported from arXiv LATTICE 2004 — Proceedings of the XXIInd International Symposium on Lattice Field Theory XXIInd International Symposium on Lattice Field Theory |

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 17:47 |

Last Modified: | 11 Feb 2014 17:47 |

URI: | http://eprints.adm.unipi.it/id/eprint/1887 |

### Repository staff only actions

View Item |