Quantum spin dynamics (QSD): VI. Quantum Poincaré algebra and a quantum positivity of energy theorem for canonical quantum gravity

DOI10.1088/0264-9381/15/6/005zbMath0961.83020arXivgr-qc/9705020OpenAlexW2019648331MaRDI QIDQ4701447

Thomas Thiemann

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9705020

zbMATH Keywords

canonical quantum gravitypositive energy theorem

Mathematics Subject Classification ID

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

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A length operator for canonical quantum gravity ⋮ Coherent states on spheres ⋮ FUNDAMENTAL STRUCTURE OF LOOP QUANTUM GRAVITY ⋮ A note on conformally compactified connection dynamics tailored for anti-de Sitter space ⋮ Loop quantum gravity on non-compact spaces ⋮ Physical properties of quantum field theory measures ⋮ Coherent states, quantum gravity, and the Born-Oppenheimer approximation. III.: Applications to loop quantum gravity ⋮ Are the spectra of geometrical operators in loop quantum gravity really discrete? ⋮ Canonical Quantization of General Relativity in Discrete Space-Times

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