Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-02-23
Class.Quant.Grav.24:5277-5297,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, revtex4, 1 figure
Scientific paper
10.1088/0264-9381/24/20/021
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.
Fairbairn Winston
Livine Etera R.
No associations
LandOfFree
3d Spinfoam Quantum Gravity: Matter as a Phase of the Group Field Theory 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 3d Spinfoam Quantum Gravity: Matter as a Phase of the Group Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 3d Spinfoam Quantum Gravity: Matter as a Phase of the Group Field Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-582189