2 + 1 gravity with a positive cosmological constant in LQG: a proposal for the physical state

2011/01/31 by Daniele Pranzetti · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Ansatz #Black Holes and Theoretical Physics #Context (archaeology) #Cosmological constant #Cosmology and Gravitation Theories #Linear-quadratic-Gaussian control #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Optimal control #Physics #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Spin foam #Theoretical physics #gr-qc

paper · pdf · doi:10.1088/0264-9381/28/22/225025

published as Class.Quant.Grav. 28 (2011) 225025 · 17 pages; minor changes, presentation improved. Version accepted for publication in CQG

arxiv created 2011/10/10 · openalex publication_date 2011/10/31 · arxiv updated 2012/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

17 pages; minor changes, presentation improved. Version accepted for publication in CQG

Citations

• Quantum Gravity in 2+1 Dimensions
• Introduction to Loop Quantum Gravity and Spin Foams
• Quantum field theory and the Jones polynomial
• 2 + 1 dimensional gravity as an exactly soluble system
• On the relation between rigging inner product and master constraint direct integral decomposition
• Quantum Spin Dynamics VIII. The Master Constraint
• Projective techniques and functional integration for gauge theories
• The Phoenix Project: master constraint programme for loop quantum gravity

Cited by

• Non-commutative holonomies in 2 + 1 LQG and Kauffman's brackets