Identifying cosmological perturbations in group field theory condensates
Open accessAbstract
One proposal for deriving effective cosmological models from theories of quantum gravity is to view the former as a mean-field (hydrodynamic) description of the latter, which describes a universe formed by a ‘condensate’ of quanta of geometry. This idea has been successfully applied within the setting of group field theory (GFT), a quantum field theory of ‘atoms of space’ which can form such a condensate. We further clarify the interpretation of this mean-field approximation, and show how it can be used to obtain a semiclassical description of the GFT, in which the mean field encodes a classical statistical distribution of geometric data. In this sense, GFT condensates are quantum homogeneous geometries that also contain statistical information about cosmological inhomogeneities. We show in the isotropic case how this information can be extracted from geometric GFT observables and mapped to quantities of observational interest. Basic uncertainty relations of (non-commutative) Fourier transforms imply that this statistical description can only be compatible with the observed near-homogeneity of the Universe if the typical length scale associated to the distribution is much larger than the fundamental ‘Planck’ scale. As an example of effective cosmological equations derived from the GFT dynamics, we then use a simple approximation in one class of GFT models to derive the ‘improved dynamics’ prescription of holonomy corrections in loop quantum cosmology.
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GFTs based on the Ooguri model may provide a covariant QFT formulation of the dynamics of LQG.
“One can then show, that GFTs based on the Ooguri model, may provide a covariant QFT formulation of the dynamics of LQG.”
From Impact of nonlinear effective interactions on group field theory quantum gravity condensates (2016) · cites this paper as [14]
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Cites
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“8) reproduces, in GFT condensate cosmology, the improved dynamics prescription of LQG [32] in which holonomy corrections take the form (5.”
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Sorted by citations
The universe as a quantum gravity condensate
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de Cesare, M., Pithis, A. G. A., & Sakellariadou, M. (2016) · Physical Review D · doi:10.1103/physrevd.94.064051 · Cited by 72 · see citing works
Impact of nonlinear effective interactions on group field theory quantum gravity condensates
Pithis, A. G. A., Sakellariadou, M., & Tomov, P. (2016) · Physical Review D · doi:10.1103/physrevd.94.064056 · Cited by 34 · see citing works
- Authors
- Gielen, S.
- Affiliations
- Imperial College London (GB)
- Corresponding author
- Gielen, Steffen
- ORCID
- Gielen, Steffen
- Venue
- Journal of High Energy Physics
- Published
- 2015-08
- Volume
- 2015
- Issue
- 8
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W1905905204
- Cited by
- 25
- References
- 16
- Citations by year
- 2023: 1 · 2021: 1 · 2020: 1 · 2019: 3 · 2018: 2 · 2017: 7 · 2016: 8 · 2015: 2
- FWCI
- 3.99
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- Locations
- Journal of High Energy Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (publishedVersion)
- Repository@Nottingham (University of Nottingham) (publishedVersion, cc-by)
- White Rose Research Online (University of Leeds, The University of Sheffield, University of York) (acceptedVersion)
- Repository@Nottingham (University of Nottingham) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- European Commission (622339, 2007–2013, FP7 2007-2013, FP7/2007)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- group field theory, cosmological perturbations, condensate, mean-field approximation, semiclassical approximation, quantum gravity, cosmological inhomogeneities, isotropic cosmology, uncertainty relations, Planck scale, holonomy corrections, loop quantum cosmology
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