Intersecting quantum gravity with noncommutative geometry - a review

DOI10.3842/SIGMA.2012.018zbMath1251.83017arXiv1203.6164OpenAlexW2124631031WikidataQ56139331 ScholiaQ56139331MaRDI QIDQ431469

Jesper Møller Grimstrup, Johannes Aastrup

Publication date: 26 June 2012

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6164

zbMATH Keywords

noncommutative geometryquantum gravitysemiclassical analysis

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Noncommutative function spaces (46L52) Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

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\(C^\ast\)-algebras of holonomy-diffeomorphisms \& quantum gravity. II ⋮ Quantum lattice gauge fields and groupoid \(\mathrm{C}^{\ast}\)-algebras ⋮ On nonperturbative quantum field theory and noncommutative geometry

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