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Group Field Theory: An overview

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arxiv hep-th/0505016 v1 pith:YLVMLZFD submitted 2005-05-02 hep-th gr-qc

Laurent Freidel (PI , ENS-Lyon) This is my paper · ORCID
classification hep-thgr-qc
keywords theorygravityquantumfieldgroupoverviewapproacharises
verification ladder T0 review T1 audit T2 compute T3 formal
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We give a brief overview of the properties of a higher dimensional generalization of matrix model which arises naturally in the context of a background independent approach to quantum gravity, the so called group field theory. We show that this theory leads to a natural proposal for the physical scalar product of quantum gravity. We also show in which sense this theory provides a third quantization point of view on quantum gravity.

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Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Relational Observables in Group Field Theory

    gr-qc 2024-12 conditional novelty 7.0 of 10

    POVM-based conditioning on scalar-field quantum reference frames defines relational observables in group field theory that match prior number and volume results on coherent states.

  2. Collective excitations in quantum gravity condensates

    gr-qc 2026-05 unverdicted novelty 6.0 of 10

    Collective excitations analogous to phonons are derived in quantum gravity condensates within a group field theory model, yielding leading beyond-mean-field corrections to emergent Friedmann dynamics.

  3. A Cosmological Uncertainty Relation and Late-Universe Acceleration

    astro-ph.CO 2026-04 unverdicted novelty 6.0 of 10

    Deformed commutation relation for the cosmic scale factor modifies the Friedmann equation to produce late-time dark energy with w > -1 or a non-singular bounce as a horizon-scale quantum gravity effect, without new pa...

  4. The one-loop effective action from the coherent state path integral of loop quantum gravity

    gr-qc 2025-02 conditional novelty 6.0 of 10

    The one-loop effective action from the LQG coherent state path integral is computed and found to be UV-finite, with the dynamical area j0 > 0 at the quantum level.

  5. An Exactly Soluble Group Field Theory

    gr-qc 2024-12 conditional novelty 6.0 of 10

    A non-interacting group field theory exactly reproduces the Husain-Kuchar model's spinfoam amplitudes and Fock space, bridging canonical and covariant quantization approaches.

  6. (2+1) Lorentzian quantum cosmology from spin-foams: opportunities and obstacles for semi-classicality

    gr-qc 2024-11 conditional novelty 6.0 of 10

    A 2+1 Lorentzian spin-foam cosmology model with a Hessian-derived measure and a massive scalar field yields convergent partition functions, with semi-classical expectation values only in the causally regular sector an...

  7. Addendum to "Relational Hamiltonian for group field theory"

    gr-qc 2019-08 accept novelty 5.0 of 10

    A relational Hamiltonian is built for group field theory actions with derivative-dependent local kinetic terms, and the earlier effective Friedmann dynamics are shown to remain unchanged.

  8. Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives

    gr-qc 2024-11 unverdicted novelty 4.0 of 10

    The paper argues that an effective 'hydrodynamics on superspace' framework, realized in TGFT condensate cosmology, can unify quantum gravity and cosmology.

  9. Hilbert space formalisms for group field theory

    gr-qc 2024-12 accept novelty 3.0 of 10

    A structured review of the three main Hilbert space formalisms for group field theory, with emphasis on their assumptions and conceptual connections.

  10. Les Houches lectures on Spinfoam Path Integrals

    gr-qc 2026-07 accept novelty 2.0 of 10

    A pedagogical review of spinfoam path integrals, from 1d quantum mechanics and 2d BF theory through Ponzano-Regge/Turaev-Viro to the 4d EPRL model, accurate but with no new results.

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