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Renormalizability of nonlocal quantum gravity coupled to matter

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arxiv 2306.09416 v2 pith:KFU24QBZ submitted 2023-06-15 hep-th gr-qc

classification hep-thgr-qc
keywords mattertheorycoupleddimensionsgravitynonlocalquantumaction
verification ladder T0 review T1 audit T2 compute T3 formal
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We extensively study the ultraviolet quantum properties of a nonlocal action for gravity nonminimally coupled to matter. The theory unifies matter and gravity in an action principle such that all the classical solutions of Einstein's theory coupled to matter are also solutions of the nonlocal theory. At the quantum level, we show that the theory is power-counting super-renormalizable in even dimensions and finite in odd dimensions. A simple extension of the model compatible with the above properties is finite also in even dimensions.

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Cited by 6 Pith papers

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

  1. Acausal exact vacuum solutions in nonlocal gravity

    gr-qc 2026-05 unverdicted novelty 7.0 of 10

    A subclass of Gödel universes with closed timelike curves are exact vacuum solutions in nonlocal gravity for special nonlocal form factors.

  2. Cosmology of fractional gravity

    gr-qc 2026-04 unverdicted novelty 7.0 of 10

    Fractional gravity yields stable de Sitter expansion and exact bouncing solutions driven by phantom (w < -1) or ghost (negative energy) fluids, with results independent of the form-factor representation.

  3. Acausal exact vacuum solutions in nonlocal gravity

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Gödel-type universes with closed timelike curves are exact vacuum solutions in nonlocal gravity for a special class of form factors.

  4. Hawking area law in quantum gravity

    gr-qc 2026-04 unverdicted novelty 5.0 of 10

    Exact Hawking area law from black hole mergers restricts quantum gravity to singular Ricci-flat or specific regular black holes in Stelle and nonlocal theories, derives the standard entropy-area law, and realizes Barr...

  5. Hawking area law in quantum gravity

    gr-qc 2026-04 conditional novelty 5.0 of 10

    If Hawking's area law is taken as exact, nonlocal and Stelle quantum-gravity theories are forced to drop R^2 and (Riemann)^2 terms (or use singular Ricci-flat black holes), and the standard entropy-area law follows as...

  6. Eikonal, nonlocality and regular black holes

    hep-th 2026-04 unverdicted novelty 5.0 of 10

    Nonlocal form factors in D-dimensional gravity yield effective geometries whose nonlinear completion gives regular, asymptotically flat Schwarzschild deformations with de Sitter cores.

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