Diffeomorphism Symmetry in Quantum Gravity Models
Open accessAbstract
We review and discuss the role of diffeomorphism symmetry in quantum gravity models.Such models often involve a discretization of the space-time manifold as a regularization method.Generically this leads to a breaking of the symmetries to approximate ones, however there are incidences in which the symmetries are exactly preserved.Both kind of symmetries have to be taken into account in covariant and canonical theories in order to ensure the correct continuum limit.We will sketch how to identify exact and approximate symmetries in the action and how to define a corresponding canonical theory in which such symmetries are reflected as exact and approximate constraints.
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There exist possible discretizations of a field theory that maintain the full symmetry content of their continuum relatives (perfect actions).
“Indeed, there exist possible discretizations of a field theory, which maintain the full symmetry content of their continuum relatives. These regularizations are called perfect actions”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [144]
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References 98 · Cited by 123
- Authors
- Dittrich, B.
- Affiliations
- Utrecht University (NL)
- Corresponding author
- Dittrich, Bianca
- ORCID
- Dittrich, Bianca
- Venue
- Advanced Science Letters
- Publisher
- American Scientific Publishers
- Published
- 2009-06-01
- Volume
- 2
- Issue
- 2
- Pages
- 151-163
- ISSN
- 1936-6612 (ISSN-L)
- 1936-7317
- OpenAlex
- W2963438085
- Cited by
- 123
- References
- 98
- Citations by year
- 2026: 2 · 2025: 4 · 2024: 8 · 2023: 8 · 2022: 4 · 2021: 4 · 2020: 5 · 2019: 5 · 2018: 6 · 2017: 6 · 2016: 11 · 2015: 7 · 2014: 8 · 2013: 16 · 2012: 12
- FWCI
- 6.63
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Advanced Science Letters (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- European Commission
- 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
- diffeomorphism symmetry, quantum gravity, symmetry breaking, approximate symmetries, exact symmetries, continuum limit, canonical quantum gravity, constraints
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