Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-02-02
Class.Quant.Grav. 23 (2006) 6543-6576
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
RevTeX; 28 pages, 21 figures
Scientific paper
10.1088/0264-9381/23/22/027
We present a new group field theory describing 3d Riemannian quantum gravity coupled to matter fields for any choice of spin and mass. The perturbative expansion of the partition function produces fat graphs colored with SU(2) algebraic data, from which one can reconstruct at once a 3-dimensional simplicial complex representing spacetime and its geometry, like in the Ponzano-Regge formulation of pure 3d quantum gravity, and the Feynman graphs for the matter fields. The model then assigns quantum amplitudes to these fat graphs given by spin foam models for gravity coupled to interacting massive spinning point particles, whose properties we discuss.
Oriti Daniele
Ryan J. J.
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