Non-Uniqueness of Gibbs measures relative to Brownian motion
arXiv:0707.1462
Abstract
We consider Gibbs measures relative to Brownian motion of Feynman-Kac type, with single site potential V. We show that for a large class of V, including the Coulomb potential, there exist infinitely many infinite volume Gibbs measures.
arXiv commentThis paper has been withdrawn by the author due to a fatal error in Theorem 3.5 (the main theorem, unfortunately)