Spin foam model from canonical quantization
نویسندگان
چکیده
منابع مشابه
Spin 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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The most common spin foam models of gravity are widely believed to be discrete path integral quantizations of the Plebanski action. However, their derivation in present formulations is incomplete and lower dimensional simplex amplitudes are left open to choice. Since the large-spin behavior of these amplitudes determines the convergence properties of the state-sum, this gap has to be closed bef...
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This work is two fold. In the first part of this paper we regard classical Plebanski’s action as a BF action supplemented by constraints (defined in the spirit of Barrett and Crane). We study the definition of a spin foam model for Riemannian general relativity using a systematic implementation of these constraints as restrictions on the paths in the state-sum of BF theory. The spin foam model ...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2008
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.77.024009