József Lörinczi & Fumio Hiroshima 
Feynman-Kac-Type Theorems and Gibbs Measures on Path Space [PDF ebook] 
With Applications to Rigorous Quantum Field Theory

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.

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