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Cosmology from Group Field Theory Formalism for Quantum Gravity

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons39400

Gielen,  S.
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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

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

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Volltexte (frei zugänglich)

1303.3576v3.pdf
(Preprint), 142KB

PRL111_031301.pdf
(beliebiger Volltext), 138KB

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Zitation

Gielen, S., Oriti, D., & Sindoni, L. (2013). Cosmology from Group Field Theory Formalism for Quantum Gravity. Physical Review Letters, 111: 031301. doi:10.1103/PhysRevLett.111.031301.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000E-CA9F-5
Zusammenfassung
We identify a class of condensate states in the group field theory (GFT) approach to quantum gravity that can be interpreted as macroscopic homogeneous spatial geometries. We then extract the dynamics of such condensate states directly from the fundamental quantum GFT dynamics, following the procedure used in ordinary quantum fluids. The effective dynamics is a non-linear and non-local extension of quantum cosmology. We also show that any GFT model with a kinetic term of Laplacian type gives rise, in a semi-classical (WKB) approximation and in the isotropic case, to a modified Friedmann equation. This is the first concrete, general procedure for extracting an effective cosmological dynamics directly from a fundamental theory of quantum geometry.