Regge gravity from spinfoams

Details Regge gravity from spinfoams Regge gravity from spinfoams

2011-05-01

arxiv.org/abs/1105.0216v6

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, presentation improved, section added, many typos corrected, improved discussion of the orientations of 4-simplices

Scientific paper

We consider spinfoam quantum gravity in the double scaling limit $\gamma\rightarrow 0$, $j\rightarrow\infty$ with $\gamma j=const$., where $\gamma$ is the Immirzi parameter, $j$ is the spin and $\gamma j$ gives the physical area in Planck units. We show how in this regime the partition function for a 2-complex takes the form of a path integral over continuous Regge metrics and enforces Einstein equations in the semiclassical regime. The Immirzi parameter must be considered as dynamical in the sense that it runs towards zero when the small wavelengths are integrated out. In addition to quantum corrections which vanish for $\hbar\rightarrow 0$, we find new corrections due to the discreteness of geometric spectra which is controlled by $\gamma$.

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