Canonical quantization of spherically symmetric gravity in Ashtekar's self-dual representation
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The reduced structure group is Z_G(λ_k(F)) = exp τ3 ≅ U(1) for k≠0, and Z_G(λ_0(F)) = SU(2).
“As the reduced structure group we obtain Z G (λ k (F )) = exp τ 3 ∼ = U(1) for k = 0 and Z G (λ 0 (F )) = SU (2) (k = 0 leads to the manifestly symmetric connections of [35]).”
From Symmetry reduction for quantized diffeomorphism-invariant theories of connections (2000) · cites this paper as [35]
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References 21 · Cited by 167
Research works printed but not linked: 1
- [17][17] T.Thiemann, diplom thesis, RWTH Aachen, January 1992, and to be published. -
- Authors
- Thiemann, T., & Kastrup, H. A.
- Affiliations
- RWTH Aachen University (DE)
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1993-06
- Volume
- 399
- Issue
- 1
- Pages
- 211-258
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2075313176
- Cited by
- 167
- References
- 21
- Citations by year
- 2025: 17 · 2024: 6 · 2023: 3 · 2022: 6 · 2021: 3 · 2020: 9 · 2019: 1 · 2018: 3 · 2017: 1 · 2016: 6 · 2015: 4 · 2014: 2 · 2013: 1 · 2012: 3
- FWCI
- 9.96
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- RWTH Publications (RWTH Aachen) (submittedVersion)
- RWTH Publications (RWTH Aachen) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- Deutsche Forschungsgemeinschaft
- 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
- canonical quantization, spherically symmetric gravity, Ashtekar variables, self-dual representations, operator ordering, constraint equations, Schwarzschild metric, degenerate metrics, Wheeler-DeWitt equation, unitary transformation, quantum gravity
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