Feynman-Kac-type theorems and Gibbs measures on path space : with applications to rigorous quantum field theory

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書誌事項

Feynman-Kac-type theorems and Gibbs measures on path space : with applications to rigorous quantum field theory

József Lőrinczi, Fumio Hiroshima, Volker Betz

(De Gruyter studies in mathematics, 34)

De Gruyter, c2011

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注記

Includes bibliography (p. [473]-498) and index

内容説明・目次

内容説明

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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