The fermionic signature operator in De Sitter spacetime

DOI10.1016/j.jmaa.2019.123808zbMath1436.81163arXiv1902.09144OpenAlexW2997513285WikidataQ126411858 ScholiaQ126411858MaRDI QIDQ2304269

Claudio Dappiaggi, Simone Murro, Felix Finster, Emanuela Radici

Publication date: 9 March 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09144

zbMATH Keywords

Dirac operatorquantum field theory on curved spacetimeHadamard statesde Sitter spacetimefermionic signature operator

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Methods of quantum field theory in general relativity and gravitational theory (83C47) Fermionic systems in quantum theory (81V74)

Related Items (9)

A comparison of the Georgescu and Vasy spaces associated to the \(N\)-body problems and applications ⋮ On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary ⋮ Paracausal deformations of Lorentzian metrics and Møller isomorphisms in algebraic quantum field theory ⋮ A canonical complex structure and the bosonic signature operator for scalar fields in globally hyperbolic spacetimes ⋮ On the uniqueness of invariant states ⋮ Intertwining operators for symmetric hyperbolic systems on globally hyperbolic manifolds ⋮ The fermionic signature operator in the exterior Schwarzschild geometry ⋮ The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with timelike boundary ⋮ Møller operators and Hadamard states for Dirac fields with MIT boundary conditions

Uses Software

• DLMF

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