Towards Spinfoam Cosmology
Mar, 2010
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Abstract: (arXiv)
We compute the transition amplitude between coherent quantum-states of geometry peaked on homogeneous isotropic metrics. We use the holomorphic representations of loop quantum gravity and the Kaminski-Kisielowski-Lewandowski generalization of the new vertex, and work at first order in the vertex expansion, second order in the graph (multipole) expansion, and first order in 1/volume. We show that the resulting amplitude is in the kernel of a differential operator whose classical limit is the canonical hamiltonian of a Friedmann-Robertson-Walker cosmology. This result is an indication that the dynamics of loop quantum gravity defined by the new vertex yields the Friedmann equation in the appropriate limit.- 04.60.Pp
- quantum cosmology: loop space
- approximation: classical
- spin: foam
- Friedman model
- holomorphic
- coherent state
- quantum gravity: loop space
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