Projected spin networks for Lorentz connection: linking spin foams and loop gravity
Open accessAbstract
In the search for a covariant formulation for loop quantum gravity, spin foams have arisen as the corresponding discrete spacetime structure and, among the different models, the Barrett–Crane model seems to be the most promising. Here, we study its boundary states and introduce cylindrical functions on both the Lorentz connection and the time normal to the studied hypersurface. We call them projected cylindrical functions and explain how they would naturally arise in a covariant formulation of loop quantum gravity.
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- Authors
- Livine, E. R.
- Affiliations
- Centre de Physique Théorique (FR)
- Corresponding author
- Livine, Etera R
- ORCID
- Livine, Etera R
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2002-10-21
- Volume
- 19
- Issue
- 21
- Pages
- 5525-5541
- ISSN
- 0264-9381 (ISSN-L)
- OpenAlex
- W2069341543
- Cited by
- 77
- References
- 17
- Citations by year
- 2024: 1 · 2023: 2 · 2022: 5 · 2021: 2 · 2020: 2 · 2019: 1 · 2018: 1 · 2017: 1 · 2016: 4 · 2015: 1 · 2014: 6 · 2013: 8 · 2012: 8
- FWCI
- 1.04
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (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 › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Lorentz connection, spin foams, loop quantum gravity, Barrett-Crane model, boundary states, covariant formulation, discrete spacetime
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