Generalized quantum gravity condensates for homogeneous geometries and cosmology
Open accessAbstract
We construct a generalized class of quantum gravity condensate states that allows the description of continuum homogeneous quantum geometries within the full theory. They are based on similar ideas already applied to extract effective cosmological dynamics from the group field theory formalism, and thus also from loop quantum gravity. However, they represent an improvement over the simplest condensates used in the literature, in that they are defined by an infinite superposition of graph-based states encoding in a precise way the topology of the spatial manifold. The construction is based on the definition of refinement operators on spin network states, written in a second quantized language. The construction also lends itself easily to application to the case of spherically symmetric quantum geometries.
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More general condensate states capturing topological information in an explicit manner, involving large superpositions of connected graphs, and suitable to go beyond the homogeneous approximation, have been constructed and used to model spherical horizons.
“More general condensate states capturing topological information in an explicit manner, involving large superpositions of connected graphs, and suitable to go beyond the homogeneous approximation as well, have been constructed in [26], and used to model spherical horizons in [27].”
From The universe as a quantum gravity condensate (2017) · cites this paper as [26]
More realistic GFT condensate states, defined by large superpositions including very refined spin network graphs, have been constructed.
“More realistic GFT condensates states, defined by large superpositions including very refined spin network graphs (thus, triangulations), have been constructed in [26].”
From The universe as a quantum gravity condensate (2017) · cites this paper as [26]
Spin foam cosmology makes use of the spin foam expansion and is an expansion in terms of the number of degrees of freedom.
“In fact, spin foam cosmology (SFC) [26] makes use of the spin foam expansion [4] and is thus an expansion in terms of the number of degrees of freedom.”
From Cosmological implications of interacting group field theory models: Cyclic universe and accelerated expansion (2016) · cites this paper as [26]
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References 104 · Cited by 48
Research works printed but not linked: 8
- T. Krajewski, "Group field theories," PoS QGQGS 2011, 005 (2011) [arXiv:1210.6257 [gr-qc]]. · arXiv
- E. Wilson-Ewing, "Lattice loop quantum cosmology: scalar perturbations," Class. Quant. Grav. 29, 215013 (2012) [arXiv:1205.3370 [gr-qc]]. · arXiv
- D. Pranzetti, "Radiation from quantum weakly dynamical horizons in LQG," Phys. Rev. Lett. 109 (2012) 011301 [arXiv:1204.0702 [gr-qc]]. · arXiv
- B. Bahr, "On backgroung-independent renormalisation of spin foam models", arXiv:1407.7746 [gr-qc] · arXiv
- J. Ben Geloun, "Two and four-loop β-functions of rank 4 renormalizable tensor field theories," Class. Quant. Grav. 29, 235011 (2012) [arXiv:1205.5513 [hep-th]]. · arXiv
- M. X. Han and M. Zhang, "Asymptotics of Spinfoam Amplitude on Simplicial Manifold: Euclidean Theory," Class. Quant. Grav. 29, 165004 (2012) [arXiv:1109.0500 [gr-qc]]. · arXiv
- A. Leggett, "Quantum Liquids," Oxford University Press (2006).
- D. Oriti, D. Pranzetti and L. Sindoni, "Entropy of isolated horizons from quantum gravity condensates," arXiv:1510.06991 [gr-qc]. · arXiv
- Authors
- Oriti, D., Pranzetti, D., Ryan, J. P., & Sindoni, L.
- Affiliations
- Max Planck Society (DE)
- Corresponding author
- Pranzetti, Daniele
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2015-11-13
- Volume
- 32
- Issue
- 23
- Pages
- 235016
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W164929978
- Cited by
- 48
- References
- 104
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 2 · 2023: 3 · 2022: 2 · 2021: 4 · 2020: 3 · 2019: 6 · 2018: 8 · 2017: 5 · 2016: 11 · 2015: 2
- FWCI
- 5.47
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- SDL (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- Max-Planck-Gesellschaft
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- group field theory, loop quantum gravity, spin network states, refinement operators, graph states, second quantization
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