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Towards classical geometrodynamics from Group Field Theory hydrodynamics

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons20698

Oriti,  Daniele
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons4297

Sindoni,  Lorenzo
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1010.5149
(Preprint), 448KB

1367-2630_13_2_025006.pdf
(Publisher version), 846KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Oriti, D., & Sindoni, L. (2011). Towards classical geometrodynamics from Group Field Theory hydrodynamics. New Journal of Physics, 13: 025006. doi:10.1088/1367-2630/13/2/025006.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-CE6D-1
Abstract
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.