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arXiv · cond-mat/9801098

Effective potential in three-dimensional O(N) models

A. Pelissetto·E. Vicari
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Abstract

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 $ε$-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.

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A. Pelissetto, E. Vicari. 1998-01-12. Effective potential in three-dimensional O(N) models. https://doi.org/10.1016/s0550-3213(98)00257-0

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