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Article Dans Une Revue Physical Review D Année : 2011

Cosmological Constant in LQG Vertex Amplitude

Résumé

A new q-deformation of the Euclidean EPRL/FK 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.
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hal-00964086 , version 1 (05-09-2023)

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Muxin Han. Cosmological Constant in LQG Vertex Amplitude. Physical Review D, 2011, 84 (6), pp.064010. ⟨10.1103/PhysRevD.84.064010⟩. ⟨hal-00964086⟩
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