SPIN FOAM MODEL FOR 3D GRAVITY IN THE CONTINUUM
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Zapata formalized the idea of a continuum spin-foam description of 3-dimensional gravity using projective techniques inspired by the canonical picture.
“Recently, Zapata [372, 371] formalized the idea of a continuum spin-foam description of 3-dimensional gravity using projective techniques inspired by those utilized in the canonical picture [32].”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [372]
Zapata constructs the continuum extension of the Turaev-Viro model for non-vanishing cosmological constant.
“Zapata concentrates on the case with non-vanishing cosmological constant and constructs the continuum extension of the Turaev-Viro model.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [372]
In Zapata's treatment of the Turaev-Viro model, the amplitudes do not depend on the discretization because the theory is topological, so the refinement limit is trivial.
“An example where this procedure is well defined is Zapata’s treatment of the Turaev-Viro model [372]. The key point in this case is that amplitudes are independent of the discretization (due to the topological character of the theory), so that the refinement limit is trivial.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [372]
Cites
Spectroscopic and Group Theoretical Methods in Physics
Bloch, F., Cohen, S. G., De-Shalit, A., Sambursky, S., & Talmi, I. (1968) · Cited by 162 · see citing works
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The Spin-Foam Approach to Quantum Gravity
Perez, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-3 · Cited by 677 · see citing works
- Authors
- ZAPATA, J. A.
- Affiliations
- Instituto de Matemáticas UNAM, Morelia Mich. 58090, México
- Venue
- Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebanski
- Publisher
- WORLD SCIENTIFIC
- Published
- 2006-08
- Pages
- 495-501
- OpenAlex
- W2167414279
- Cited by
- 1
- References
- 1
- Citations by year
- 2013: 1
- FWCI
- 0.00
- Type
- conference paper
- Language
- en
- Open access
- closed
- Locations
- Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebanski (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
- spin foam models, three-dimensional gravity, continuum limit, quantum gravity, 3-manifolds
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