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Group field cosmology: a cosmological field theory of quantum geometry

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons4348

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

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

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

Externe Ressourcen
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Volltexte (frei zugänglich)

1201.4151
(Preprint), 490KB

CQG_29_10_105005.pdf
(beliebiger Volltext), 517KB

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Zitation

Calcagni, G., Gielen, S., & Oriti, D. (2012). Group field cosmology: a cosmological field theory of quantum geometry. Classical and quantum gravity, 29: 105005. doi:10.1088/0264-9381/29/10/105005.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-8426-1
Zusammenfassung
Following the idea of a field quantization of gravity as realized in group field theory, we construct a minisuperspace model where the wavefunction of canonical quantum cosmology (either Wheeler-DeWitt or loop quantum cosmology) is promoted to a field, the coordinates are minisuperspace variables, the kinetic operator is the Hamiltonian constraint operator, and the action features a nonlinear and possibly nonlocal interaction term. We discuss free-field classical solutions, the quantum propagator, and a mean-field approximation linearizing the equation of motion and augmenting the Hamiltonian constraint by an effective term mixing gravitational and matter variables. Depending on the choice of interaction, this can reproduce, for example, a cosmological constant, a scalar-field potential, or a curvature contribution.