Feynman-Kac-Type Theorems and Gibbs Measures on Path Space : With Applications to Rigorous Quantum Field Theory
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| Title: | Feynman-Kac-Type Theorems and Gibbs Measures on Path Space : With Applications to Rigorous Quantum Field Theory |
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| Description: | 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. |
| Authors: | József Lörinczi, Fumio Hiroshima, Volker Betz |
| Resource Type: | eBook. |
| Subjects: | Quantum field theory--Mathematics, Integration, Functional, Stochastic analysis |
| Categories: | MATHEMATICS / Differential Equations / General, MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Functional Analysis |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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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| ISBN: | 9783110201482 9783110203738 |