All 3-edge-connected relativistic BC and EPRL spin-networks are integrable

Details All 3-edge-connected relativistic BC and EPRL spin-networks are integrable All 3-edge-connected relativistic BC and EPRL spin-networks are integrable

2010-10-26

arxiv.org/abs/1010.5384v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, no figures

Scientific paper

We prove statement conjectured in [Baez and Barrett:2001] that every 3-edge-connected SL(2,C) spin-network with invariants of certain class is integrable. It means that the regularized evaluation (defined by a suitable integral) of such a spin-network is finite. Our proof is quite general. It is valid for relativistic spin-networks of Barrett and Crane as well as for spin-networks with the Engle-Pereira-Rovelli-Livine intertwiners and for some generalization of both. The result interesting from the group representation point of view opens also a possibility of defining vertex amplitudes for Spin-Foam models based on non-simplicial decompositions.

Affiliated with

Also associated with

No associations

Rating

All 3-edge-connected relativistic BC and EPRL spin-networks are integrable 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 All 3-edge-connected relativistic BC and EPRL spin-networks are integrable, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and All 3-edge-connected relativistic BC and EPRL spin-networks are integrable will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-159477