“Group field theory”的意思、由来-开放百科全书

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Group field theory

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{{distinguish|text=group theory. This article is about group field theory as a candidate theory of quantum gravity}}{{Beyond the Standard Model|cTopic=Quantum gravity}}

Group field theory (GFT) is a quantum field theory in which the base manifold is taken to be a Lie group. It is closely related to background independent quantum gravity approaches such as loop quantum gravity, the spin foam formalism and causal dynamical triangulation. It can be shown that its perturbative expansion can be interpreted as spin foams and simplicial pseudo-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.

References

http://relativity.livingreviews.org/Articles/lrr-2008-5/ see Sec 6.8 Dynamics: III. Group field theory
https://arxiv.org/abs/hep-th/0505016
https://arxiv.org/abs/gr-qc/0607032
http://fqxi.org/data/documents/Oriti%20Azores%20Talk.pdf
https://arxiv.org/abs/1002.3592
https://arxiv.org/abs/1008.0354
https://arxiv.org/abs/0909.4221
https://arxiv.org/abs/gr-qc/0702125
https://arxiv.org/abs/1009.4475
https://arxiv.org/abs/1303.3576

1 : Quantum gravity

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