Outline of a generally covariant quantum field theory and a quantum theory of gravity
Open accessAbstract
We study a tentative generally covariant quantum field theory, denoted the T theory, as a tool to investigate the consistency of quantum general relativity. The theory describes the gravitational field and a minimally coupled scalar field; it is based on the loop representation, and on a certain number of quantization choices. Four-dimensional diffeomorphism-invariant quantum transition probabilities can be computed from the theory. We discuss the choices on which the T theory relies, and the possibilities of modifying them.
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If the gauge N(x)=1, N^a(x)=A^i_0(x)=0 is fixed, the hamiltonian density (58) coincides with the hamiltonian constraint H(x).
“If we can fix the gauge N ( x ) = 1, N a ( x ) = A i 0 ( x ) = 0, ˙ A = { A, H} , the hamiltonian density (58) coincides with the hamiltonian constraint H ( x ) [12].”
From Reconcile Planck-scale discreteness and the Lorentz-Fitzgerald contraction (2003) · cites this paper as [12]
The transformation properties of C [ N ] under 4d diffeomorphisms are less clear.
“The transformation properties of C [ N ] under 4d diffeomorphisms are less clear.”
From “Sum over surfaces” form of loop quantum gravity (1997) · cites this paper as [44]
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References 45 · Cited by 37
- Authors
- Rovelli, C.
- Affiliations
- Department of Physics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1995-11-01
- Volume
- 36
- Issue
- 11
- Pages
- 6529-6547
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W1996765162
- Semantic Scholar
- f6d09f11a49fbea29f85edf92d4ca99fd508ecae
- Cited by
- 37
- References
- 45
- Citations by year
- 2020: 1 · 2019: 1 · 2018: 1 · 2014: 1 · 2012: 2
- FWCI
- 4.97
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of Mathematical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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
- quantum gravity, loop representation, minimally coupled scalar field, diffeomorphism invariance
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