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Main subject categories: • Mathemtical physics • Quantum field theory2000 Mathematics Subject Classification (primary): • 81T13 Yang-Mills and other gauge theories in quantum field theory • 35L10 Second-order hyperbolic equations • 35L40 First-order hyperbolic systems • 58J40 Pseudodifferential and Fourier integral operators on manifolds; (secondary): • 81T28 Thermal quantum field theory • 35L15 Initial value problems for second-order hyperbolic equations • 35L45 Initial value problems for first-order hyperbolic systems • 58J47 Propagation of singularities; initial value problems on manifold • 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metricsThis monograph focuses on free fields and the corresponding quasi-free states, and, more precisely, on Klein Gordon fields and Dirac fields. The first chapters are devoted to preliminary material on CCR -algebras, quasi-free states, wave equations on Lorentzian manifolds, microlocal analysis, and to the important Hadamard condition characterizing physically acceptable quantum states on curved spacetimes. In the later chapters, more advanced tools of microlocal analysis, like the global pseudo-differentia

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Author

Christian Gérard

Publisher

European Mathematical Society Publishing House

Published

2019

Language

EN

ISBN

9783037195949

Category

nonfiction

Subjects

Mathematics, Mathematical Physics, Stem