2019/02/28 by Claudio Dappiaggi, Felix Finster, Simone Murro +1 · 16 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Dirac operator #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Projector #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Signature (topology) #Slicing #Spacetime #Spinor #State (computer science) #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/j.jmaa.2019.123808
published in Journal of Mathematical Analysis and Applications 485(2), 123808 (Elsevier BV) · 28 pages - accepted in Journal of Mathematical Analysis and Applications
openalex publication_date 2020/01/02 · arxiv created 2020/01/09 · arxiv updated 2020/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The fermionic projector state is a distinguished quasi-free state for the algebra of Dirac fields in a globally hyperbolic spacetime. We construct and analyze it in the four-dimensional de Sitter spacetime, both in the closed and in the flat slicing. In the latter case we show that the mass oscillation properties do not hold due to boundary effects. This is taken into account in a so-called mass decomposition. The involved fermionic signature operator defines a fermionic projector state. In the case of a closed slicing, we construct the fermionic signature operator and show that the ensuing state is maximally symmetric and of Hadamard form, thus coinciding with the counterpart for spinors of the Bunch-Davies state.