2001/03/22 by Richard E. Livine, Livine, Richard E. · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic structures and combinatorial models #Deformation (meteorology) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Immirzi parameter #Loop quantum gravity #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Order (exchange) #Philosophy #Physics #Quantum #Quantum gravity #Quantum mechanics #Simple (philosophy) #Spectrum (functional analysis) #Spin (aerodynamics) #Spin foam #Theoretical physics #Thermodynamics #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0103081
LateX, 11 pages
openalex publication_date 2001/03/22 · arxiv created 2002/06/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the generalised constrained BF theory described in gr-qc/0102073 in order to introduce the Immirzi parameter in spin foam models. We show that the resulting spin foam model is still based on simple representations and that the generalised BF action is simply a deformation of the Barrett-Crane model. The Immirzi parameter doesn't change the representations used in the spin foam model, so it doesn't affect the geometry of the model. However we show how it may still appear as a factor in the area spectrum.