Group field theory formulation of 3d quantum gravity coupled to matter fields
arXiv:gr-qc/0602010 · doi:10.1088/0264-9381/23/22/027
Abstract
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.
RevTeX; 28 pages, 21 figures
Cited by in corpus (5)
- 3d Spinfoam Quantum Gravity: Matter as a Phase of the Group Field Theory
- Causality and matter propagation in 3d spin foam quantum gravity
- Extended matter coupled to BF theory
- A Note on B-observables in Ponzano-Regge 3d Quantum Gravity
- Emergent non-commutative matter fields from Group Field Theory models of quantum spacetime