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Cited by 469Noncommutative and Quantum Gravity TheoriesRelativity and Gravitational TheoryBlack Holes and Theoretical Physics

An Introduction to Spin Foam Models of BF Theory and Quantum Gravity

Baez, John C.·2000·Lecture Notes in Physics
DOI 10.1007/3-540-46552-9_2
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Crossref · 10.1007/3-540-46552-9_2

Cites

1 of 1 references verified0 citation errors · 0 not checkable

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  • The Ponzano-Regge and Turaev-Viro models are examples of spin foam models, based on simplicial complexes with faces, edges, and vertices labeled by group representations and intertwiners.

    “The Ponzano-Regge and Turaev-Viro models are examples of “spin foam” models [35, 222], that is, a model based on simplicial complexes with faces, edges, and vertices labeled by group representations and intertwiners.”

    From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [35]

  • Classical BF theory has no local degrees of freedom: all solutions of its equations of motion are locally related by gauge transformations, leaving only global or topological degrees of freedom.

    “The theory has no local excitations: all solutions of the equations of motion are locally related by gauge transformations.”

    From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [39]

  • The recent spin-foam models of Barrett-Crane, Engle-Pereira-Rovelli-Livine and Freidel-Krasnov fall into a common scheme.

    “The recent spin-foam models of Barrett-Crane [8], Engle-Pereira-Rovelli-Livine [6] and FreidelKrasnov [15] fall into a common scheme.”

    From Spin-foams for all loop quantum gravity (2010) · cites this paper as [8]

  • Livine and Speziale have found an independent derivation of the vertex proposed here, based on coherent states they introduced.

    “Livine and Speziale have found an independent derivation of the vertex proposed here [45], based on the use of the coherent states they have introduced in [18].”

    From Flipped spinfoam vertex and loop gravity (2008) · cites this paper as [18]

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Authors
Baez, J. C.
Affiliations
University of California, Riverside (US)
Corresponding author
Baez, John C.
ORCID
Baez, John C.
Venue
Lecture Notes in Physics
Publisher
Springer Berlin Heidelberg
Published
2000
Pages
25-93
ISSN
0075-8450 (ISSN-L)
DOI
10.1007/3-540-46552-9_2
OpenAlex
W1813946704
Cited by
464
References
1
Citations by year
2026: 8 · 2025: 8 · 2024: 8 · 2023: 14 · 2022: 12 · 2021: 24 · 2020: 14 · 2019: 9 · 2018: 8 · 2017: 10 · 2016: 13 · 2015: 25 · 2014: 14 · 2013: 16 · 2012: 27
FWCI
103.17
Type
book chapter
Language
en
Open access
closed
Locations
Lecture notes in physics (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, BF theory, loop quantum gravity, spin networks, quantum geometry, quantum gravity, transition amplitudes, intertwining operators, representation

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