title: First-order transitions for n-vector models in two and more dimensions: rigorous proof.
abstract: We prove that various SO(n)-invariant n-vector models with interactions which have a deep and narrow enough minimum have a first-order transition in the temperature. The result holds in dimensions two or more and is independent of the nature of the low-temperature phase.
authors.affiliation: Institute for Theoretical Physics, Rijksuniversiteit Groningen, P.O. Box 800, 9747 AG Groningen, The Netherlands. aenter@phys.rug.nl
authors.forename: Aernout C D
authors.initials: AC
authors.lastname: van Enter
authors.forename: Senya B
authors.initials: SB
authors.lastname: Shlosman