Einstein-Regge equations in spinfoams

Details Einstein-Regge equations in spinfoams Einstein-Regge equations in spinfoams

2011-10-26

arxiv.org/abs/1110.5899v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, based on a talk given at Loops '11 in Madrid, to appear in Journal of Physics: Conference Series (JPCS)

Scientific paper

We consider spinfoam quantum gravity on a spacetime decomposition with many 4-simplices, in the double scaling limit in which the Immirzi parameter $\gamma$ is sent to zero (flipped limit) and the physical area in Planck units ($\gamma$ times the spin quantum number $j$) is kept constant. We show that the quantum amplitude takes the form of a Regge-like path integral and enforces Einstein equations in the semiclassical regime. In addition to quantum corrections which vanish when the Planck constant goes to zero, we find new corrections due to the discreteness of geometric spectra which is controlled by the Immirzi parameter.

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