A functional integral representation for many Boson systems II: Correlation functions (Q1002366)

This paper is the continuation of a previous one published by the same authors [ibid. 9, No. 7, 1229--1273 (2008; Zbl 1159.82003)] and provides functional integral representations for the partition function and the correlation functions of many Boson systems of which the configuration space is defined by finitely many points. In the previous paper the authors bounded each integral by the supremum of its integrand multiplied by its volume of integration, whilst here they use a field dependent, integrable, bound on the integrand.