Group field theory as the second quantization of loop quantum gravity
Open accessAbstract
We construct a second quantized reformulation of canonical loop quantum gravity (LQG) at both kinematical and dynamical level, in terms of a Fock space of spin networks, and show in full generality that it leads directly to the group field theory (GFT) formalism. In particular, we show the correspondence between canonical LQG dynamics and GFT dynamics leading to a specific GFT model from any definition of quantum canonical dynamics of spin networks. We exemplify the correspondence of dynamics in the specific example of 3d quantum gravity. The correspondence between canonical LQG and covariant spin foam models is obtained via the GFT definition of the latter.
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- Authors
- Oriti, D.
- Affiliations
- Max Planck Society (DE)
- Corresponding author
- Oriti, Daniele
- ORCID
- Oriti, Daniele
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2016-03-16
- Volume
- 33
- Issue
- 8
- Pages
- 085005
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2156561780
- Cited by
- 144
- References
- 13
- Citations by year
- 2026: 6 · 2025: 8 · 2024: 16 · 2023: 10 · 2022: 19 · 2021: 14 · 2020: 5 · 2019: 17 · 2018: 15 · 2017: 12 · 2016: 9 · 2015: 8 · 2014: 5
- FWCI
- 10.01
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Classical and Quantum Gravity (publishedVersion)
- Max Planck Digital Library (submittedVersion, other-oa)
- MPG.PuRe (Max Planck Society) (submittedVersion, other-oa)
- 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 › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- group field theory, loop quantum gravity, second quantization, spin networks, Fock space, canonical quantum gravity, spin foam models, three-dimensional quantum gravity
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