Feynman-Kac-type theorems and Gibbs measures on path space : with applications to rigorous quantum field theory / by József Lörinczi, Fumio Hiroshima, Volker Betz
pt. 1. Feynman-Kac-type theorems and Gibbs measures on path space -- pt. 2. Rigorous quantumfield theory
Summary
This monograph offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. These ideas are then applied principally to a rigorous treatment of some fundamental models of quantum field theory. In this self-contained presentation of the material both beginners and experts are addressed, while putting emphasis on the interdisciplinary character of the subject
