Cosmology from Group Field Theory Formalism for Quantum Gravity
Open accessAbstract
We identify a class of condensate states in the group field theory (GFT) formulation of 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 nonlinear and nonlocal extension of quantum cosmology. We also show that any GFT model with a kinetic term of Laplacian type gives rise, in a semiclassical (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.
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Together with recently obtained results showing free GFT condensate models dynamically reach a low spin phase, this lends strong support to the idea that condensate states are appropriate for studying the cosmological sector of LQG.
“Together with the recently obtained results which show how free GFT condensate models dynamically reach a low spin phase [9], this lends strong support to the idea that condensate states are appropriate for studying the cosmological sector of LQG.”
From Impact of nonlinear effective interactions on group field theory quantum gravity condensates (2016) · cites this paper as [9]
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- Authors
- Gielen, S., Oriti, D., & Sindoni, L.
- Affiliations
- Leibniz University Hannover (DE)
- Max Planck Institute for Gravitational Physics (DE)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2013-07-16
- Volume
- 111
- Issue
- 3
- Pages
- 031301-031301
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1974265146
- Cited by
- 176
- References
- 3
- Citations by year
- 2026: 5 · 2025: 7 · 2024: 11 · 2023: 10 · 2022: 10 · 2021: 10 · 2020: 8 · 2019: 10 · 2018: 14 · 2017: 21 · 2016: 29 · 2015: 19 · 2014: 15 · 2013: 7
- FWCI
- 16.60
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion, other-oa)
- arXiv (Cornell University)
- 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, quantum gravity, quantum cosmology, modified Friedmann equations, semiclassical approximation, WKB approximation, quantum fluids
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