A Canonical Complex Structure and the Bosonic Signature Operator for Scalar Fields in Globally Hyperbolic Spacetimes

The bosonic signature operator is defined for Klein–Gordon fields and massless scalar fields on globally hyperbolic Lorentzian manifolds of infinite lifetime. The construction is based on an analysis of families of solutions of the Klein–Gordon equation with a varying mass parameter. It makes use of...

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Veröffentlicht in:	Annales Henri Poincaré 2023-04, Vol.24 (4), p.1185-1209
Hauptverfasser:	Finster, Felix, Much, Albert
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Decomposition Dynamical Systems and Ergodic Theory Elementary Particles Klein-Gordon equation Manifolds (mathematics) Mathematical and Computational Physics Mathematical Methods in Physics Minkowski space Operators (mathematics) Original Paper Parameters Physics Physics and Astronomy Quantum Field Theory Quantum Physics Relativity Theory Scalars Solution space Subspaces Theoretical
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