C *-algebras of holonomy-diffeomorphisms and quantum gravity: I

DOI10.1088/0264-9381/30/8/085016zbMath1267.83030arXiv1209.5060OpenAlexW2093072037MaRDI QIDQ4923883

Johannes Aastrup, Jesper Møller Grimstrup

Publication date: 27 May 2013

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

Full work available at URL: https://arxiv.org/abs/1209.5060

zbMATH Keywords

noncommutative geometryquantum gravityquantum field theorysemi-classical limitcanonical quantum gravitysemi-finite spectral triple

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of noncommutative geometry in general relativity (83C65)

Related Items (7)

The metric nature of matter ⋮ Non‐perturbative Quantum Field Theory and the Geometry of Functional Spaces ⋮ On Representations of the Quantum Holonomy Diffeomorphism Algebra ⋮ \(C^\ast\)-algebras of holonomy-diffeomorphisms \& quantum gravity. II ⋮ General relativity solutions in modified gravity ⋮ Quantum holonomy theory ⋮ On nonperturbative quantum field theory and noncommutative geometry

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