Uniqueness of continuum one-dimensional Gibbs states for slowly decaying interactions (Q1096260)

Instead of lattice or hard-core systems, continuum one-dimensional statistical mechanics models are considered. For a slowly decaying, superstable, many-body interaction V, under assumptions analogous to those usually imposed on lattice or hard-core models, it is proved that there exists exactly one tempered Gibbs state for any perturbation of the form \(V+\phi_ N\), \(N\geq 2\).