3d Spinfoam Quantum Gravity: Matter as a Phase of the Group Field Theory
| dc.creator | Fairbairn, Winston | |
| dc.creator | Livine, Etera R. | |
| dc.date | 2007-02-23 | |
| dc.date.accessioned | 2026-07-07T11:21:47Z | |
| dc.date.available | 2026-07-07T11:21:47Z | |
| dc.description | An effective field theory for matter coupled to three-dimensional quantum gravity was recently derived in the context of spinfoam models in hep-th/0512113. In this paper, we show how this relates to group field theories and generalized matrix models. In the first part, we realize that the effective field theory can be recasted as a matrix model where couplings between matrices of different sizes can occur. In a second part, we provide a family of classical solutions to the three-dimensional group field theory. By studying perturbations around these solutions, we generate the dynamics of the effective field theory. We identify a particular case which leads to the action of hep-th/0512113 for a massive field living in a flat non-commutative space-time. The most general solutions lead to field theories with non-linear redefinitions of the momentum which we propose to interpret as living on curved space-times. We conclude by discussing the possible extension to four-dimensional spinfoam models. | |
| dc.description | 17 pages, revtex4, 1 figure | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0702125 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0702125 | |
| dc.identifier | Class.Quant.Grav.24:5277-5297,2007 | |
| dc.identifier | doi:10.1088/0264-9381/24/20/021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/194364 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | 3d Spinfoam Quantum Gravity: Matter as a Phase of the Group Field Theory | |
| dc.type | text |