Perturbing a quantum gravity condensate
Open accessAbstract
In a recent proposal using the group field theory approach, a spatially homogeneous (generally anisotropic) universe is described as a quantum gravity condensate of ``atoms of space,'' which allows the derivation of an effective cosmological Friedmann equation from the microscopic quantum gravity dynamics. Here we take a first step towards the study of cosmological perturbations over the homogeneous background. We consider a state in which a single ``atom'' is added to an otherwise homogeneous condensate. Backreaction of the perturbation on the background is negligible and the background dynamics can be solved separately. The dynamics for the perturbation takes the form of a quantum cosmology Hamiltonian for a ``wave function,'' depending on background and perturbations, of the product form usually assumed in a Born-Oppenheimer approximation. We show that the perturbation we consider corresponds to a spatially homogeneous metric perturbation, and for this case derive the usual procedures in quantum cosmology from fundamental quantum gravity.
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First steps have been taken to extend GFT condensate cosmology to homogeneous metric perturbations and to inhomogeneous geometries reconstructed from the statistical distribution over homogeneous geometries provided by the condensate density.
“Some first steps have also been taken in the extension of GFT condensate cosmology to the study of cosmological perturbations, restricted to homogeneous metric perturbations [44], and to inhomogeneous geometries reconstructed from the statistical distribution over homogeneous geometries provided by the condensate density [39].”
From The universe as a quantum gravity condensate (2017) · cites this paper as [44]
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Experimental — accuracy not yet measuredBoundary 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 [13]
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Inflationary Spacetimes Are Incomplete in Past Directions
Borde, A., Guth, A. H., & Vilenkin, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.151301 · Cited by 582 · see citing works
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Research works printed but not linked: 17
- [2]T. Thiemann, Modern Canonical Quantum General Relativity (Cambridge University Press, Cambridge, 2007); C. Rovelli, Quantum Gravity (Cambridge University Press, Cambridge, 2006); A. Ashtekar and J. Lewandowski, Background independent quantum gravity: a status report, Class. Quant. Grav. 21 (2004) R53-R152, gr-qc/ 0404018 ; C. Rovelli, Zakopane lectures on loop gravity, PoS QGQGS2011 (2011) 003, arXiv:1102.3660 . · arXiv
- [3]A. Ashtekar and J. Lewandowski, Representation Theory of Analytic Holonomy C ∗ Algebras, in Knots and Quantum Gravity , ed. J. Baez (Oxford University Press, Oxford, 1994), gr-qc/9311010 ; A. Ashtekar and J. Lewandowski, Projective techniques and functional integration for gauge theories, J. Math. Phys. 36 (1995) 2170-2191, gr-qc/9411046 . · arXiv
- [5]C. W. Misner, Quantum Cosmology. I, Phys. Rev. 186 (1969) 1319-1327; D. L. Wiltshire, An introduction to quantum cosmology, in Cosmology: The Physics of the Universe , ed. B. Robson et al. (World Scientific, Singapore, 1996), gr-qc/0101003 . · arXiv
- [6]M. Bojowald, Loop Quantum Cosmology, Liv. Rev. Rel. 11 (2008) 4; A. Ashtekar and P. Singh, Loop quantum cosmology: a status report, Class. Quant. Grav. 28 (2011) 213001, arXiv:1108.0893 ; K. Banerjee, G. Calcagni, and M. Martin-Ben´ ıto, Introduction to Loop Quantum Cosmology, SIGMA 8 (2012) 016, arXiv:1109.6801 . · arXiv
- [7]S. Gielen, D. Oriti, and L. Sindoni, Cosmology from Group Field Theory Formalism for Quantum Gravity, Phys. Rev. Lett. 111 (2013) 031301, arXiv:1303.3576 ; S. Gielen, D. Oriti, and L. Sindoni, Homogeneous cosmologies as group field theory condensates, JHEP 1406 (2014) 013, arXiv:1311.1238 . · arXiv
- [9]S. Gielen and D. Oriti, Discrete and continuum third quantization of Gravity, in Quantum Field Theory and Gravity: Conceptual and Mathematical Advances in the Search for a Unified Framework , ed. F. Finster et al. (Birkh¨ auser, Basel, 2012), arXiv:1102.2226 . · arXiv
- [11]S. Gielen, Quantum cosmology of (loop) quantum gravity condensates: an example, Class. Quant. Grav. 31 (2014) 155009, arXiv:1404.2944 . · arXiv
- [12]S. Gielen and D. Oriti, Quantum cosmology from quantum gravity condensates: cosmological variables and lattice-refined dynamics, New J. Phys. 16 (2014) 123004, arXiv:1407.8167 . · arXiv
- [13]G. Calcagni, Loop quantum cosmology from group field theory, Phys. Rev. D 90 (2014) 064047, arXiv:1407.8166 . · arXiv
- [16]C. Kiefer and M. Kr¨ amer, Quantum Gravitational Contributions to the Cosmic Microwave Background Anisotropy Spectrum, Phys. Rev. Lett. 108 (2012) 021301, arXiv:1103.4967 . · arXiv
- [17]D. Oriti, The microscopic dynamics of quantum space as a group field theory, in Foundations of Space and Time: Reflections on Quantum Gravity , ed. J. Murugan et al. (Cambridge University Press, Cambridge, 2012), arXiv:1110.5606 ; L. Freidel, Group field theory: An Overview, Int. J. Theor. Phys. 44 (2005) 1769-1783, hep-th/0505016 . · arXiv
- [18]M. P. Reisenberger and C. Rovelli, Spacetime as a Feynman diagram: the connection formulation, Class. Quant. Grav. 18 (2001) 121-140, gr-qc/0002095 . · arXiv
- [19]M. V. Battisti, A. Marciano, and C. Rovelli, Triangulated Loop Quantum Cosmology: Bianchi IX and inhomogenous perturbations Phys. Rev. D 81 (2010) 064019, arXiv:0911.2653 ; E. Bianchi, C. Rovelli, and F. Vidotto, Towards Spinfoam Cosmology, Phys. Rev. D 82 (2010) 084035, arXiv:1003.3483 . · arXiv
- [20]M. Bojowald, A. L. Chinchilli, C. C. Dantas, M. Jaffe, and D. Simpson, Nonlinear (loop) quantum cosmology, Phys. Rev. D 86 (2012) 124027, arXiv:1210.8138 . · arXiv
- [21]C. Kiefer, Quantum Gravity (Oxford University Press, Oxford, third edition, 2012).
- [22]J. Ben Geloun and V. Bonzom, Radiative Corrections in the Boulatov-Ooguri Tensor Model: The 2-Point Function, Int. J. Theor. Phys. 50 (2011) 2819-2841, arXiv:1101.4294 ; S. Carrozza, D. Oriti, and V. Rivasseau, Renormalization of a SU (2) Tensorial Group Field Theory in Three Dimensions, Commun. Math. Phys. 330 (2014) 581-637, arXiv:1303.6772 . · arXiv
- [24]D. Oriti, D. Pranzetti, J. P. Ryan, and L. Sindoni, Generalized quantum gravity condensates for homogeneous geometries and cosmology, arXiv:1501.00936 . · arXiv
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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
Geloun, J. B., Martini, R., & Oriti, D. (2016) · Physical Review D · doi:10.1103/physrevd.94.024017 · Cited by 71 · 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
- Gielen, S.
- Affiliations
- Perimeter Institute (CA)
- Corresponding author
- Gielen, Steffen
- ORCID
- Gielen, Steffen
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2015-02-20
- Volume
- 91
- Issue
- 4
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2145322946
- Cited by
- 23
- References
- 1
- Citations by year
- 2021: 1 · 2019: 3 · 2018: 2 · 2017: 6 · 2016: 7 · 2015: 4
- FWCI
- 3.99
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- White Rose Research Online (University of Leeds, The University of Sheffield, University of York) (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- Repository@Nottingham (University of Nottingham) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- Seventh Framework Programme (622339)
- Government of Canada
- Ministry of Research and Innovation
- 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, Born-Oppenheimer approximation, quantum cosmology, metric perturbations, Friedmann equations, anisotropic cosmology
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