Feynman-Kac-Type Theorems and Gibbs Measures on Path Space
With Applications to Rigorous Quantum Field Theory| By: | József Lörinczi; Fumio Hiroshima; Volker Betz |
| Publisher: | De Gruyter |
| Print ISBN: | 9783110201482 |
| eText ISBN: | 9783110203738 |
| Edition: | 1 |
| Copyright: | 2011 |
| Format: | Page Fidelity |
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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.