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Group field theory for quantum gravity minimally coupled to a scalar field

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arxiv 1701.08719 v4 pith:367LKXYX submitted 2017-01-30 gr-qc

Yang Li , Daniele Oriti , Mingyi Zhang This is my paper · ORCID
classification gr-qc
keywords gravityfieldcoupledgroupmodelquantumscalartheory
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We construct a group field theory model for quantum gravity minimally coupled to relativistic scalar fields, defining as well a corresponding discrete gravity path integral (and, implicitly, a coupled spin foam model) in its Feynman expansion. We also analyze a number of variations of the same model, the corresponding discrete gravity path integrals, its generalization to the coupling of multiple scalar fields and discuss its possible applications to the extraction of effective cosmological dynamics from the full quantum gravity formalism, in the context of group field theory condensate cosmology.

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Cited by 5 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. 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.

  4. Stochastic dynamics for group field theories II: Methods for nonequilibrium renormalization group

    hep-th 2025-09 conditional novelty 5.0 of 10

    Extending a stochastic renormalization-group method for tensor group field theories to non-equilibrium, this paper finds that fluctuation-dissipation-violating couplings become large near finite-scale singularities, i...

  5. 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.

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