Group field theory

Group field theory is a theory of quantum gravity. It is closely related to background independent quantum gravity approaches such as loop quantum gravity and spin foam and causal dynamical triangulation.

A group field theory is, technically speaking, a quantum field theory living on a Lie group, whose Feynman diagrams correspond to spin foams and simplicial manifolds (depending on the representation of the fields). Thus, its partition function defines a non-perturbative sum over all simplicial topologies and geometries, giving a path integral formulation of quantum spacetime.

See also

• Causal Sets
• Fractal cosmology
• Loop quantum gravity
• Planck scale
• Quantum gravity
• Regge calculus
• Simplex
• Simplicial manifold
• Spin foam

References

• http://relativity.livingreviews.org/Articles/lrr-2008-5/ see Sec 6.8 Dynamics: III. Group field theory
• http://arxiv.org/abs/hep-th/0505016
• http://arXiv.org/abs/gr-qc/0607032
• http://fqxi.org/data/documents/Oriti%20Azores%20Talk.pdf
• http://arxiv.org/abs/1002.3592
• http://arxiv.org/abs/1008.0354
• http://arxiv.org/abs/0909.4221
• http://arxiv.org/abs/gr-qc/0702125
• http://arxiv.org/abs/1009.4475v1