Feynman-Kac-Type Theorems and Gibbs Measures on Path Space : : With Applications to Rigorous Quantum Field Theory / / József Lörinczi, Fumio Hiroshima, Volker Betz.

• Superior document: Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
• VerfasserIn: Lörinczi, József,; Betz, Volker,; Hiroshima, Fumio,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©2011
• Year of Publication: 2011
• Language: English
• Series: De Gruyter Studies in Mathematics , 34
• Physical Description: 1 online resource (505 p.)
• Other title: Frontmatter --; Preface --; Contents --; Part I Feynman–Kac-type theorems and Gibbs measures --; Chapter 1 Heuristics and history --; Chapter 2 Probabilistic preliminaries --; Chapter 3 Feynman–Kac formulae --; Chapter 4 Gibbs measures associated with Feynman–Kac semigroups --; Part II Rigorous quantum field theory --; Chapter 5 Free Euclidean quantum field and Ornstein–Uhlenbeck processes --; Chapter 6 The Nelson model by path measures --; Chapter 7 The Pauli–Fierz model by path measures --; Chapter 8 Notes and References --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110203738; 9783110494938; 9783110238570; 9783110238471; 9783110637205; 9783110233544; 9783110233551; 9783110233636
• ISSN: 0179-0986
• DOI: 10.1515/9783110203738
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: József Lörinczi, Fumio Hiroshima, Volker Betz.

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.