A Lorentzian signature model for quantum general relativity

1999/04/30 by John W. Barrett, John W Barrett, Louis Crane · 22 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #General relativity #Lorentz covariance #Lorentz group #Lorentz transformation #Noncommutative and Quantum Gravity Theories #Path integral formulation #Quantum gravity #Signature (topology) #Spin foam #Theory of relativity #gr-qc

paper · pdf · doi:10.1088/0264-9381/17/16/302

published as Class.Quant.Grav. 17 (2000) 3101-3118 · 22 pages, latex, amsfonts, Xypic. Version 3: improved presentation. Version 2 is a major revision with explicit formulae included for the evaluation of relativistic spin networks and the computation of examples which have finite values

arxiv created 2000/07/07 · openalex publication_date 2000/08/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In [1], we proposed a model for quantized discrete general relativity with a Euclidean signature. The model was constructed by combining the structure

Citations

• Quantum gravity as topological quantum field theory
• 2 + 1 dimensional gravity as an exactly soluble system
• Simple spin networks as Feynman graphs

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