Fermions in canonical gravity
Open accessAbstract
Ashtekar's change of variables in the phase space of general relativity is employed in a canonical formulation of interacting gravitational and spinor fields. The formalism is derived from a complex Palatini-type action with the chiral spin connection as an independent variable. The resulting Hamiltonian constraints are polynomial in the conjugate variables. There is some evidence that the distinction between the Einstein-Cartan and torsion-free theories can be coded entirely in the reality condition specifying the Hermitian part of the torsion.
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References 15 · Cited by 56
Research works printed but not linked: 3
- SI Pirani F 1951 Thesis Carnegie Institute of Technology DeWitt B S and DeWitt-Morette C M 1952 Phys. Rev. 87 116
- Dirac P A M 1962 Recent Developments in General Relativity (Oxford: Pergamon) p 191
- Penrose R and Rindler W 1984 Spinors and Spacetime vol 1 (Cambridge: Cambridge University Press)
- Authors
- Jacobson, T.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1988-10-01
- Volume
- 5
- Issue
- 10
- Pages
- L143-L148
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2150317177
- Cited by
- 56
- References
- 15
- Citations by year
- 2026: 1 · 2024: 1 · 2022: 4 · 2021: 1 · 2018: 1 · 2017: 1 · 2015: 1 · 2014: 1 · 2013: 2 · 2012: 1
- FWCI
- 6.65
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- canonical gravity, Ashtekar variables, spinor fields, Palatini action, Hamiltonian constraint, Einstein-Cartan theory, torsion, reality conditions
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