2011/05/31 by Muxin Han · 1 citation
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Combinatorics #Computer science #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Coupling constant #Euclidean geometry #Geometry #Graph #Invariant (physics) #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Simplex #Spin foam #Vertex (graph theory) #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.84.064010
published as Phys. Rev. D 84, 064010 (2011) · 6 pages, 5 figures, result and presentation improved
arxiv created 2011/06/12 · openalex publication_date 2011/09/07 · arxiv updated 2011/10/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A new q deformation of the Euclidean EPRL/FK (Engle-Pereira-Rovelli-Livine/Freidel-Krasnov) vertex amplitude is proposed by using the evaluation of the Vassiliev invariant associated with a 4-simplex graph [related to two copies of quantum SU(2) group at different roots of unity] embedded in a 3-sphere. We show that the large-j asymptotics of the q-deformed vertex amplitude gives the Regge action with a cosmological constant. In the end we also discuss its relation with a Chern-Simons theory on the boundary of 4-simplex.