Skip to main content
Article thumbnail
Location of Repository

State sum models for quantum gravity

By John W. Barrett


This paper reviews the construction of quantum field theory on a 4-dimensional spacetime by combinatorial methods, and discusses the recent developments in the direction of a combinatorial construction of quantum gravity

Year: 2000
OAI identifier:
Provided by: Nottingham ePrints

Suggested articles


  1. (1993). A categorical construction of 4D TQFTs.
  2. A lattice worldsheet sum for 4-d Euclidean general relativity.
  3. (2000). A Lorentzian Signature Model for Quantum General Relativity.
  4. (1999). A note on area variables in Regge calculus.
  5. A spin foam model without bubble divergences.
  6. (2000). Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space.
  7. (2000). Canonical “loop” quantum gravity and spin foam models. in: Recent Developments
  8. (1999). Classical Euclidean general relativity from “left-handed area = righthanded area”.
  9. Feynman Diagrams of Generalized Matrix Models and the Associated Manifolds in Dimension 4.
  10. (2000). Finite groups, spherical 2-categories, and 4-manifold invariants.
  11. (1996). Four-Dimensional BF Theory as a Topological Quantum Field Theory.
  12. (1999). Generalized Barrett-Crane vertices and Invariants of embedded graphs.
  13. Hypergravity and categorical Feynmanology.
  14. (1999). On relativistic spin network vertices.
  15. On the classical limit of the balanced state sum.
  16. (1998). Quantum theory of geometry. III. Noncommutativity of Riemannian structures.
  17. (1998). Relativistic spin networks and quantum gravity.
  18. (1968). Semiclassical limit of Racah coefficients. Spectroscopic and group theoretical methods
  19. (2000). Simple Spin Networks as Feynman Graphs.
  20. (1995). Skein theory and Turaev-Viro invariants.
  21. (1999). so(4) Plebanski Action and Relativistic Spin Foam Model.
  22. Space of the vertices of relativistic spin networks.
  23. Spacetime as a Feynman diagram: the connection formulation.
  24. Spin foam model for Lorentzian General Relativity.
  25. (1999). Spin Foam Models and the Classical Action Principle.
  26. (1998). Spin foam models.
  27. Spin foams as Feynman diagrams.
  28. (1997). State Sum invariants of 4-Manifolds.
  29. (1997). Sum over surfaces” form of loop quantum gravity.
  30. (1999). The asymptotics of an amplitude for the 4-simplex.
  31. (1998). The classical evaluation of relativistic spin networks.
  32. (1999). The Quantum tetrahedron in 3 and 4 dimensions.
  33. (1990). Topological Gauge Theories and Group Cohomology. doi
  34. (1992). Topological Lattice Models in Four Dimensions. doi
  35. Unlinked Embedded Graphs.

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.