Gravitons from loops: non-perturbative loop-space quantum gravity contains the graviton-physics approximation
Abstract
We investigate the physical interpretation of the loop states of non-perturbative quantum general relativity in the regime of graviton physics, namely the regime of first order excitations around the Poincaré-invariant vacuum. We construct the general form of the loop state functionals invariant under the linearized constraints. We present explicitly the loop state functionals that represent the Poincaré-invariant vacuum and the graviton states. We find that physical information emerges entirely from intersections of loops. We obtain these results by utilizing the recently introduced `map ', which relates the loop-space states of non-perturbative quantum general relativity to the state space of the linearized theory. The general picture of the linearization of the loop-space quantum general relativity is discussed.
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These spin networks were first introduced by Penrose [28] twenty five years ago to probe microscopic structure of geometry, although in a different context.
“What is remarkable is that these spin networks were first introduced by Penrose [28] already twenty five years ago to probe the microscopic structure of geometry, although in a different context.”
From Quantum theory of geometry: I. Area operators (1997) · cites this paper as [28]
The A = -1 Kauffman bracket of a spin network is the same as Penrose's spin network evaluation.
“Thus, the A = -1 Kauffman bracket of a spin network is the same at the Penrose's spin network evaluation.”
From Geometry eigenvalues and the scalar product from recoupling theory in loop quantum gravity (1996) · cites this paper as [61]
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References 7 · Cited by 37
- Authors
- Iwasaki, J., & Rovelli, C.
- Affiliations
- University of Pittsburgh (US)
- ORCID
- Iwasaki, Junichi
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1994-07-01
- Volume
- 11
- Issue
- 7
- Pages
- 1653-1676
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W1999759930
- Cited by
- 37
- References
- 7
- Citations by year
- 2014: 1 · 2012: 1
- FWCI
- 2.92
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Classical and Quantum Gravity (publishedVersion)
- 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
- loop quantum gravity, linearized gravity
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