Loop quantum cosmology from group field theory
Open accessAbstract
We show that the effective dynamics of the recently proposed isotropic condensate state of group field theory with Laplacian kinetic operator can be equivalent to that of homogeneous and isotropic loop quantum cosmology in the improved dynamics quantization scheme, where the area of elementary holonomy plaquettes is constant. This constitutes a somewhat surprising example of a cosmological model of quantum gravity where the operations of minisuperspace symmetry reduction and quantization can actually commute.
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The effective hydrodynamics of GFT condensates can be turned into an effective Hamiltonian constraint equation acting on the condensate wavefunction, but this is only possible for the free part of the dynamics.
“The effective hydrodynamics of GFT condensates can be turned in the form of an effective Hamiltonian constraint equation acting on the condensate wavefunction, from which one can try to read out the relation with gravitational dynamics and the Friedmann equations.”
From The universe as a quantum gravity condensate (2017) · cites this paper as [36]
Section II, Eq. (6), derives an effective constraint equation for the condensate weight ξ, supporting the core of the claim. But the equation includes interactions and is nonlinear in general; the paper neglects nonlinear interactions only for its concrete model in Eq. (7), not because a condensate constraint is possible only for free dynamics. Section II also cautions that ξ is not a wavefunction in the canonical sense. (LLM, conf=0.88)
Experimental — accuracy not yet measuredEq. (39) makes clearer the correspondence with the framework of ekpyrotic models, where the gravitational field is coupled to matter fields with w > 1.
“It is worth pointing out that Eq. (39) makes clearer the correspondence with the framework of ekpyrotic models 3 , where one has the gravitational field coupled to matter fields with w > 1.”
From Cosmological implications of interacting group field theory models: Cyclic universe and accelerated expansion (2016) · cites this paper as [25]
Boundary spin network states correspond to discrete quantum 3-geometries and transition amplitudes between them are given by spin foam amplitudes.
“In the latter, boundary spin network states correspond to discrete quantum 3-geometries [12] and transition amplitudes in between two such boundary states are given by appropriate spin foam amplitudes [13].”
From Impact of nonlinear effective interactions on group field theory quantum gravity condensates (2016) · cites this paper as [12]
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Cites
Quantum nature of the big bang: Improved dynamics
Ashtekar, A., Pawlowski, T., & Singh, P. (2006) · Physical Review D · doi:10.1103/physrevd.74.084003 · Cited by 1,147 · see citing works
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Cited by
Sorted by citations
The universe as a quantum gravity condensate
Oriti, D. (2017) · Comptes Rendus Physique · doi:10.1016/j.crhy.2017.02.003 · Cited by 103 · see citing works
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
Generalized quantum gravity condensates for homogeneous geometries and cosmology
Oriti, D., Pranzetti, D., Ryan, J. P., & Sindoni, L. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/23/235016 · Cited by 48 · 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
- Calcagni, G.
- Affiliations
- Instituto de Estructura de la Materia (ES)
- Corresponding author
- Calcagni, Gianluca
- ORCID
- Calcagni, Gianluca
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2014-09-24
- Volume
- 90
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1992088930
- Cited by
- 34
- References
- 1
- Citations by year
- 2023: 2 · 2021: 1 · 2020: 2 · 2019: 2 · 2018: 3 · 2017: 5 · 2016: 7 · 2015: 11 · 2014: 1
- FWCI
- 5.27
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- DIGITAL.CSIC (Spanish National Research Council (CSIC)) (submittedVersion)
- 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
- loop quantum cosmology, group field theory
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