Volker Betz, Olaf Wittich Non-Uniqueness of Gibbs measrues relative to Brownian motion (268K, pdf) 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.