Boundary terms in the Barrett–Crane spin foam model and consistent gluing
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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15 صفحه اولSpin foam model from canonical quantization
We suggest a modification of the Barrett-Crane spin foam model of 4-dimensional Lorentzian general relativity motivated by the canonical quantization. The starting point is Lorentz covariant loop quantum gravity. Its kinematical Hilbert space is found as a space of the so-called projected spin networks. These spin networks are identified with the boundary states of a spin foam model and provide...
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A covariant spin-foam formulation of quantum gravity has been recently developed, characterized by a kinematics which appears to match well the one of canonical loop quantum gravity. In this paper we reconsider the implementation of the constraints that defines the model. We define in a simple way the boundary Hilbert space of the theory, introducing a slight modification of the embedding of th...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2002
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(02)01559-9