Graviton propagator from background-independent quantum gravity

Details Graviton propagator from background-independent quantum gravity Graviton propagator from background-independent quantum gravity

2005-08-30

arxiv.org/abs/gr-qc/0508124v2

Phys.Rev.Lett.97:151301,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages. Substantially revised second version. Improved boundary state ansatz

Scientific paper

10.1103/PhysRevLett.97.151301

We study the graviton propagator in euclidean loop quantum gravity, using the spinfoam formalism. We use boundary-amplitude and group-field-theory techniques, and compute one component of the propagator to first order, under a number of approximations, obtaining the correct spacetime dependence. In the large distance limit, the only term of the vertex amplitude that contributes is the exponential of the Regge action: the other terms, that have raised doubts on the physical viability of the model, are suppressed by the phase of the vacuum state, which is determined by the extrinsic geometry of the boundary.

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