The microlocal spectrum condition, initial value formulations, and background independence

DOI10.1063/1.4940052zbMath1335.81116arXiv1312.4173OpenAlexW2119287938MaRDI QIDQ2795551

Alexander Stottmeister, Thomas Thiemann

Publication date: 21 March 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4173

zbMATH Keywords

Hadamard statehyperbolic spacetimedistributional Cauchy data Wave front setnormally hyperbolic equation

Mathematics Subject Classification ID

Model quantum field theories (81T10) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Methods of quantum field theory in general relativity and gravitational theory (83C47) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45)

Related Items (5)

Functional properties of Hörmander's space of distributions having a specified wavefront set ⋮ Nets of standard subspaces on Lie groups ⋮ Canonical interacting quantum fields on two-dimensional de Sitter space ⋮ Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry ⋮ Coherent states, quantum gravity, and the Born-Oppenheimer approximation. III.: Applications to loop quantum gravity

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