Lagrangian approach to the Barrett-Crane spin foam model
نویسندگان
چکیده
منابع مشابه
Gluing 4-simplices: a derivation of the Barrett-Crane spin foam model for Euclidean quantum gravity
We derive the the Barrett-Crane spin foam model for Euclidean 4dimensional quantum gravity from a discretized BF theory, imposing the constraints that reduce it to gravity at the quantum level. We obtain in this way a precise prescription of the form of the Barrett-Crane state sum, in the general case of an arbitrary manifold with boundary. In particular we derive the amplitude for the edges of...
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The Barrett-Crane model [?] [?] is a constrained topological state sum model for quantum gravity. Recently [?] it was proposed that this model might incorporate matter and gauge interactions if the condition on triangulations to be manifolds were relaxed. That is, conical singularities would act as seeds of matter in the quantum geometry of the state sum. The purpose of this paper is to examine...
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Abstract. In a recent paper [1] we have constructed the spin and tensor representations of SO(4) from which the invariant weight can be derived for the Barrett-Crane model in quantum gravity. By analogy with the SO(4) group, we present the complexified Clebsch-Gordan coefficients in order to construct the Biedenharn-Dolginov function for the SO(3,1) group and the spherical function as the Loren...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2009
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.79.064034