Wave Equations with Non-commutative Space and Time

DOI10.1007/978-3-319-26902-3_9zbMath1335.81126arXiv1504.01115OpenAlexW1717027139MaRDI QIDQ2800035

Rainer Verch

Publication date: 14 April 2016

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

Full work available at URL: https://arxiv.org/abs/1504.01115

zbMATH Keywords

quantum field theorynoncommutative spacetimehyperbolic partial differential operators

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Second-order hyperbolic equations (35L10)

Cites Work

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• Pseudo-Riemannian spectral triples and the harmonic oscillator
• Warped convolutions, Rieffel deformations and the construction of quantum field theories
• Dirac field on Moyal-Minkowski spacetime and non-commutative potential scattering
• Moyal planes are spectral triples
• The generally covariant locality principle -- a new paradigm for local quantum field theory
• Dynamical locality and covariance: what makes a physical theory the same in all spacetimes?
• On the spectral characterization of manifolds
• On noncommutative and pseudo-Riemannian geometry
• An algebraic formulation of causality for noncommutative geometry
• LOCALLY NONCOMMUTATIVE SPACE-TIMES
• Local covariant quantum field theory over spectral geometries

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