Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-07-31
Phys.Rev.D76:104020,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 (+9 Appendix) pages, 1 figure
Scientific paper
10.1103/PhysRevD.76.104020
We study the relation between the hessian matrix of the riemannian Reggae action on a 4-simplex and linearized quantum gravity. We give an explicit formula for the hessian as a function of the geometry, and show that it has a single zero mode. We then use a 3d lattice model to show that (i) the zero mode is a remnant of the continuum diffeomorphism invariance, and (ii) we recover the complete free graviton propagator in the continuum limit. The results help clarify the structure of the boundary state needed in the recent calculations of the graviton propagator in loop quantum gravity, and in particular its role in fixing the gauge.
Dittrich Bianca
Freidel Laurent
Speziale Simone
No associations
LandOfFree
Linearized dynamics from the 4-simplex Regge action 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 Linearized dynamics from the 4-simplex Regge action, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linearized dynamics from the 4-simplex Regge action will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-221976