Feynman-Kac-Type Theorems and Gibbs Measures on Path Space : With Applications to Rigorous Quantum Field Theory

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Bibliographic Details
Title: Feynman-Kac-Type Theorems and Gibbs Measures on Path Space : With Applications to Rigorous Quantum Field Theory
Description: 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.
Authors: József Lörinczi, Fumio Hiroshima, Volker Betz
Resource Type: eBook.
Subjects: Quantum field theory--Mathematics, Integration, Functional, Stochastic analysis
Categories: MATHEMATICS / Differential Equations / General, MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Functional Analysis
Database: eBook Collection (EBSCOhost)
Description
Abstract: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.
ISBN:9783110201482
9783110203738