2008/09/30 by Igor Khavkine · 7 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Amplitude #Black Holes and Theoretical Physics #Combinatorics #Conjecture #Graph #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Observable #Physics #Quantum #Quantum gravity #Quantum mechanics #Semiclassical physics #Spin (aerodynamics) #Spin foam #Theoretical physics #Vertex (graph theory) #gr-qc
paper · pdf · doi:10.1088/0264-9381/26/12/125012
published in Classical and Quantum Gravity 26(12), 125012 (IOP Publishing) · 34 pages, 8 figures, amsrefs; v3: merged with 0810.1653, updated bibl., version submitted to CQG
openalex publication_date 2009/05/27 · arxiv created 2009/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Christensen–Egan algorithm is extended and generalized to efficiently evaluate new spin foam vertex amplitudes proposed by Engle, Pereira and Rovelli and Freidel and Krasnov, with or without (factored) boundary states. A concrete pragmatic proposal is made for comparing the different models using uniform methodologies, applicable to the behavior of large spin asymptotics and of expectation values of specific semiclassical observables. The asymptotics of the new models exhibit non-oscillatory, power-law decay similar to that of the Barrett–Crane model, though with different exponents. Also, an analysis of the semiclassical wave packet propagation problem indicates that the Magliaro, Rovelli and Perini's conjecture of good semiclassical behavior of the new models does not hold for generic factored states, which neglect spin–spin correlations.