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2013

Homogeneous cosmologies as group field theory condensates

Gielen, Steffen, Oriti, Daniele, Sindoni, Lorenzo

Understand

We give a general procedure, in the group field theory (GFT) formalism for quantum gravity, for constructing states that describe macroscopic, spatially homogeneous universes.

These states are close to coherent (condensate) states used in the description of Bose-Einstein condensates.
The condition on such states to be (approximate) solutions to the quantum equations of motion of GFT is used to extract an effective dynamics for homogeneous cosmologies directly from the underlying quantum theory.
The resulting description in general gives nonlinear and nonlocal equations for the 'condensate wavefunction' which are analogous to the Gross-Pitaevskii equation in Bose-Einstein condensates.

Built on

M. P. Ryan Jr. and L. C. Shepley, Homogeneous relativistic cosmologies
1975
Earlier work this paper cites.
S. W. Hawking and D. N. Page, Operator Ordering and the Flatness of the Universe, Nucl. Phys. B
1986
Earlier work this paper cites.
A. A. Migdal, Loop equations and 1 / N 1/N expansion, Phys. Rept
1991
Earlier work this paper cites.
D. V. Boulatov, A Model of three-dimensional lattice gravity, Mod. Phys. Lett. A
1992
Earlier work this paper cites.
H. Ooguri, Topological lattice models in four dimensions, Mod. Phys. Lett. A
1992
Earlier work this paper cites.
L. Mandel and E. Wolf, Optical coherence and quantum optics
1995
Earlier work this paper cites.
R. De Pietri, L. Freidel, K. Krasnov, and C. Rovelli, Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space, Nucl. Phys. B
2000
Earlier work this paper cites.
T. Thiemann, Gauge field theory coherent states (GCS): I. General properties, Class. Quant. Grav
2001
Earlier work this paper cites.
M. Reisenberger and C. Rovelli, Spacetime as a Feynman diagram: the connection formulation, Class. Quant. Grav
2001
Earlier work this paper cites.
L. Pitaevskii, S. Stringari, Bose-Einstein Condensation
2001
Earlier work this paper cites.
E. Joos, H. D. Zeh, C. Kiefer, D. J. W. Giulini, J. Kupsch, and I.-O. Stamatescu, Decoherence and the Appearance of a Classical World in Quantum Theory
2003
Earlier work this paper cites.
B. L. Hu, Can Spacetime be a Condensate?, Int. J. Theor. Phys
2005
Earlier work this paper cites.
T. Thiemann, Modern canonical quantum General Relativity
2006
Earlier work this paper cites.
D. Oriti, The microscopic dynamics of quantum space as a group field theory, in Foundations of space and time
Original
2006
Earlier work this paper cites.