Spin-Foams for All Loop Quantum Gravity

Details Spin-Foams for All Loop Quantum Gravity Spin-Foams for All Loop Quantum Gravity

2009-09-04

arxiv.org/abs/0909.0939v5

Class.Quant.Grav.27:095006,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTex4, 23 pages, 8 figures; important references added; minor corrections, version published in Class.Quant.Grav; theorem of

Scientific paper

10.1088/0264-9381/27/9/095006

The simplicial framework of Engle-Pereira-Rovelli-Livine spin-foam models is generalized to match the diffeomorphism invariant framework of loop quantum gravity. The simplicial spin-foams are generalized to arbitrary linear 2-cell spin-foams. The resulting framework admits all the spin-network states of loop quantum gravity, not only those defined by triangulations (or cubulations). In particular the notion of embedded spin-foam we use allows to consider knotting or linking spin-foam histories. Also the main tools as the vertex structure and the vertex amplitude are naturally generalized to arbitrary valency case. The correspondence between all the SU(2) intertwiners and the SU(2)$\times$SU(2) EPRL intertwiners is proved to be 1-1 in the case of the Barbero-Immirzi parameter $|\gamma|\ge 1$, unless the co-domain of the EPRL map is trivial and the domain is non-trivial.

Affiliated with

Also associated with

No associations

Rating

Spin-Foams for All Loop Quantum Gravity 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 Spin-Foams for All Loop Quantum Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spin-Foams for All Loop Quantum Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-36402