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A New Spin Foam Model for 4d Gravity | | Laurent Freidel
; Kirill Krasnov
; | | Date: |
13 Aug 2007 | | Abstract: | Starting from the Plebanski formulation of gravity as a constrained BF theory
we propose a new spin foam model for 4d Riemmanian quantum gravity that
generalises the well-known model of Barrett-Crane and resolves the
ultralocality problem that this model is known to possess. It is well known
that the BF formulation of 4d gravity possesses two sectors: one corresponding
to gravity and the other topological. The model presented here is shown to give
a quantisation of the gravitational sector. The present model is dual to the
recently proposed spin foam model of Engle et al. which, we show, corresponds
to the topological sector of the theory. One important outcome of our approach
is that it also allow us to introduce the Immirzi parameter into the framework
of spin foam quantisation. We generalize some of our considerations to the
Lorentzian setting and obtain a new spin foam model in that context as well. | | Source: | arXiv, 0708.1595 | | Services: | Forum | Review | PDF | Favorites | |
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