Algebraic quantum theory on manifolds: a Haag-Kastler setting for quantum geometry

DOI10.1088/0264-9381/17/9/305zbMath1035.81034arXivgr-qc/9911076OpenAlexW2162382988MaRDI QIDQ4514261

Martin Rainer

Publication date: 2000

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9911076

zbMATH Keywords

Weyl algebrasquantum geometry\(C^*\)-algebrascausal structuremanifolds without a metric background structure

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50)

Related Items (3)

QUANTUM GEOMETRY AS A RELATIONAL CONSTRUCT ⋮ UNSPEAKABLES AND THE EPISTEMOLOGICAL PATH TOWARD QUANTUM GRAVITY ⋮ Covariant phase space, constraints, gauge and the Peierls formula

This page was built for publication: Algebraic quantum theory on manifolds: a Haag-Kastler setting for quantum geometry