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

✍ Scribed by Jozsef Lorinczi, Fumio Hiroshima, Volker Betz

Publisher
De Gruyter
Year
2011
Tongue
English
Leaves
521
Series
De Gruyter Studies in Mathematics 34
Edition
1
Category
Library
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✦ Synopsis

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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