A new spinfoam vertex for quantum gravity

Details A new spinfoam vertex for quantum gravity A new spinfoam vertex for quantum gravity

2007-05-04

arxiv.org/abs/0705.0674v2

Phys.Rev.D76:084028,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17+8 pages, 6 figures. v2 updated references

Scientific paper

10.1103/PhysRevD.76.084028

We introduce a new spinfoam vertex to be used in models of 4d quantum gravity based on SU(2) and SO(4) BF theory plus constraints. It can be seen as the conventional vertex of SU(2) BF theory, the 15j symbol, in a particular basis constructed using SU(2) coherent states. This basis makes the geometric interpretation of the variables transparent: they are the vectors normal to the triangles within each tetrahedron. We study the condition under which these states can be considered semiclassical, and we show that the semiclassical ones dominate the evaluation of quantum correlations. Finally, we describe how the constraints reducing BF to gravity can be directly written in terms of the new variables, and how the semiclassicality of the states might improve understanding the correct way to implement the constraints.

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