Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-10-25
New J.Phys.13:025006,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
revtex4, 32 pages. Contribution submitted to the focus issue of the New Journal of Physics on "Classical and Quantum Analogues
Scientific paper
10.1088/1367-2630/13/2/025006
We take the first steps towards identifying the hydrodynamics of group field theories (GFTs) and relating this hydrodynamic regime to classical geometrodynamics of continuum space. We apply to GFT mean field theory techniques borrowed from the theory of Bose condensates, alongside standard GFT and spin foam techniques. The mean field configuration we study is, in turn, obtained from loop quantum gravity coherent states. We work in the context of 2d and 3d GFT models, in euclidean signature, both ordinary and colored, as examples of a procedure that has a more general validity. We also extract the effective dynamics of the system around the mean field configurations, and discuss the role of GFT symmetries in going from microscopic to effective dynamics. In the process, we obtain additional insights on the GFT formalism itself.
Oriti Daniele
Sindoni Lorenzo
No associations
LandOfFree
Towards classical geometrodynamics from Group Field Theory hydrodynamics 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 Towards classical geometrodynamics from Group Field Theory hydrodynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards classical geometrodynamics from Group Field Theory hydrodynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-94276