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  Group field cosmology: a cosmological field theory of quantum geometry

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-8426-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-8428-E
Genre: Journal Article
Other : Towards group field cosmology

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1201.4151 (Preprint), 490KB
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 Creators:
Calcagni, Gianluca1, Author              
Gielen, Steffen1, Author              
Oriti, Daniele1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: 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.

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 Dates: 2012-01-192012
 Publication Status: Published in print
 Pages: 14 pages, 2 figures, revtex
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1201.4151
DOI: 10.1088/0264-9381/29/10/105005
 Degree: -

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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 29 Sequence Number: 105005 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1