Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model

Details Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model

2008-02-27

arxiv.org/abs/0802.3983v2

Nucl.Phys.B804:507-526,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 3 figs, revtex4, a numerical coefficient corrected in eq (60)

Scientific paper

10.1016/j.nuclphysb.2008.05.012

We consider an exact expression for the 6j-symbol for the isosceles tetrahedron, involving integrals over SU(2), and use it to write the two-point function of 3d gravity on a single tetrahedron as a group integral. The perturbative expansion of this expression is then performed with respect to the boundary geometry using a simple saddle-point analysis. We derive the complete expansion in inverse powers of the length scale and evaluate explicitly the quantum corrections up to second order. Finally, we use the same method to provide the complete expansion of the isosceles 6j-symbol with the explicit phases at all orders and the next-to-leading correction to the Ponzano-Regge asymptotics.

Affiliated with

Also associated with

No associations

Rating

Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-25671