The Group field theory approach to quantum gravity
By D. Oriti. 2006
302 citations recorded by the source corpus.
We give a very concise review of the group field theory formalism for non-perturbative quantum gravity, a higher dimensional generalisation of matrix models. We motivate it as a simplicial and local realisation of the idea of 3rd quantization of the gravitational field, equivalently of a quantum field theory of simplicial geometry, in which also the topology of space is fully dynamical. We highlight the basic structure of the formalism, and discuss briefly various models that are being studied, some recent results and the many open issues that future research should face. Finally, we point out the connections with other approaches to quantum gravity, such as loop quantum gravity, quantum Regge calculus and dynamical triangulations, and causal sets.
Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/e5fe7f82fa2ca9f242e310a339bd409f4d2414ac
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
In Nuclear and High Energy Physics
- Carlo Rovelli
- Vincent Rivasseau
- Joseph Ben Geloun
- Emanuele Alesci
- Alejandro Perez
- R. Gurau
- D. Oriti
- Sylvain Carrozza
In Statistical and Nonlinear Physics
- Carlo Rovelli
- Vincent Rivasseau
- Emanuele Alesci
- Joseph Ben Geloun
- Alejandro Perez
- R. Gurau
- B. Dittrich
- D. Oriti
Citations in the corpus
- Loop Quantum Gravity (2003, unknown): “It turns out that the BarrettCrane model can also be expressed a group field theory [101], and a group field theory for the dynamics of loop quantum gravity can be constructed and is currently under investigation [116].”
- Complete LQG propagator: Difficulties with the Barrett-Crane vertex (2007, background): “In a companion paper we illustrate the asymptotic behavior of a vertex amplitude that can correct this difficulty.”
- Zakopane lectures on loop gravity (2011, background): “A formulation I haven’t covered is group field theory [120, 34], which is the language in terms of which current research on the scaling of the theory is formulated [32, 33, 121].”
- A Renormalizable 4-Dimensional Tensor Field Theory (2011, background): “Group field theory is a special kind of random tensor model in which one adds a Lie group G and a gauge invariance [20, 21, 22, 23, 24](1).”