4-simplex Regge: Dittrich, Freidel, Speziale

  • Thread starter marcus
  • Start date


Science Advisor
Gold Member
Dearly Missed
Linearized dynamics from the 4-simplex Regge action
Bianca Dittrich, Laurent Freidel, Simone Speziale
16 (+9 Appendix) pages, 1 figure
(Submitted on 31 Jul 2007)

"We study the relation between the hessian matrix of the riemannian Regge 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."

Want to reply to this thread?

"4-simplex Regge: Dittrich, Freidel, Speziale" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving