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

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Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©2011
Year of Publication:2011
Language:English
Series:De Gruyter Studies in Mathematics , 34
Online Access:
Physical Description:1 online resource (505 p.)
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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
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.
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.