Covariant origin of the U(1)3 model for Euclidean quantum gravity

DOI10.1088/1361-6382/ac37a4OpenAlexW3211848170WikidataQ114096958 ScholiaQ114096958MaRDI QIDQ5868027

S. Bakhoda, Thomas Thiemann

Publication date: 19 September 2022

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

Full work available at URL: https://arxiv.org/abs/2011.00031

zbMATH Keywords

quantum gravityasymptotically flat boundary conditions\(U(1)^3\) modelgauge theory formulation of GRreduced phase space quantisationpure connection formulation of GR

Mathematics Subject Classification ID

Hamilton's equations (70H05) Quantization of the gravitational field (83C45) Surfaces in Euclidean and related spaces (53A05) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Connections (general theory) (53C05) Lagrange's equations (70H03) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

Cites Work

• A pure spin-connection formulation of gravity
• HAMILTONIAN ANALYSIS OF GENERAL RELATIVITY WITH THE IMMIRZI PARAMETER
• The G _Newton to 0 limit of Euclidean quantum gravity
• Closed formula for the matrix elements of the volume operator in canonical quantum gravity
• Quantum spin dynamics (QSD)
• Deformations of GR, geometrodynamics and reality conditions
• Reduced phase space approach to the U(1)³ model for Euclidean quantum gravity
• The Phoenix Project: master constraint programme for loop quantum gravity
• BF gravity

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