Addendum and Corrigendum to “Euclidean Gibbs Measures of Interacting Quantum Anharmonic Oscillators”

摘要

A generalization of Theorem 3.14 in [Euclidean Gibbs measures of interacting quantum anharmonic oscillators. J. Stat. Phys. 127:985–1047 (2007)] is given. It describes the uniqueness of Euclidean Gibbs measures of a system of quantum anharmonic oscillators in an external field. We also discuss in more detail the applicability of the Lee-Yang theorem in the theory of such systems, which includes a correction of Lemma 8.4.