Loop space representation of quantum fermions and gravity

DOI10.1016/0550-3213(95)00343-QzbMath0925.83014OpenAlexW1975844479MaRDI QIDQ1898635

Carlo Rovelli, Hugo A. Morales-Técotl

Publication date: 20 September 1995

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0550-3213(95)00343-q

zbMATH Keywords

Hamiltonian operatorsAshtekar variablesnonperturbative quantum theorylattice Yang Mills theoryPoisson algebra representationstandard Einstein Weyl theory

Mathematics Subject Classification ID

Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45)

Related Items (9)

Group field theory for quantum gravity minimally coupled to a scalar field ⋮ Sequential Measurements, Topological Quantum Field Theories, and Topological Quantum Neural Networks ⋮ Anomaly-free solution of the Ashtekar constraints for the teleparallelism equivalent of gravity ⋮ Quantization of diffeomorphism-invariant theories with fermions ⋮ Loop quantum cosmology ⋮ Loop quantum gravity ⋮ Loop quantum gravity ⋮ Quantum gravity as a Fermi liquid ⋮ The spin-foam approach to quantum gravity

Cites Work

• Discreteness of area and volume in quantum gravity
• Link invariants, holonomy algebras, and functional integration
• A generally covariant quantum field theory and a prediction on quantum measurements of geometry
• Ashtekar formulation of general relativity and loop-space nonperturbative quantum gravity: a report
• Spatial infinity as a boundary of spacetime
• Weaving a classical metric with quantum threads
• The physical Hamiltonian in nonperturbative quantum gravity
• Fermions in quantum gravity
• Outline of a generally covariant quantum field theory and a quantum theory of gravity
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