We consider the effective potential in three-dimensional models with O(N) symmetry. For generic values of N, and in particular for the physically interesting cases N = 0, 1, 2, 3, we determine the six-point and eight-point renormalized coupling constants which parametrize its small-field expansion. These estimates are obtained from the analysis of their E-expansion, taking into account the exact results in one and zero dimensions, and, for the Ising model (i.e. N = 1), the accurate high-temperature estimates in two dimensions. They are compared with the available results from other approaches. We also obtain corresponding estimates for the two-dimensional O(N) models. (C) 1998 Elsevier Science B.V.
|Autori interni:||VICARI, ETTORE|
|Autori:||Pelissetto A; Vicari E|
|Titolo:||The effective potential in three-dimensional O(N) models|
|Anno del prodotto:||1998|
|Digital Object Identifier (DOI):||10.1016/S0550-3213(98)00257-0|
|Appare nelle tipologie:||1.1 Articolo in rivista|