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The cosmological constant problem and the effective potential of a gravity-coupled scalar

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arxiv 2404.12357 v2 pith:U2QVHBKP submitted 2024-04-18 hep-th

Renata Ferrero , Roberto Percacci This is my paper · ORCID
classification hep-th
keywords quantumscalarbackgroundcasedynamicallyeffectivefieldinfinity
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abstract

We consider a quantum scalar field in a classical (Euclidean) De Sitter background, whose radius is fixed dynamically by Einstein's equations. In the case of a free scalar, it has been shown by Becker and Reuter that if one regulates the quantum effective action by putting a cutoff $N$ on the modes of the quantum field, the radius is driven dynamically to infinity when $N$ tends to infinity. We show that this result holds also in the case of a self-interacting scalar, both in the symmetric and broken-symmetry phase. Furthermore, when the gravitational background is put on shell, the quantum corrections to the mass and quartic self-coupling are found to be finite.

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Cited by 4 Pith papers

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

  1. 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.

  2. Non-Perturbative $S$-matrix Renormalization

    hep-th 2025-08 conditional novelty 5.0 of 10

    An exact, polynomial flow equation for the S-matrix generating functional of a scalar field, equivalent to the Polchinski/Wetterich flows under a change of variables, with on-shell extraction at the classical equation...

  3. Gravity and the Higgs boson mass

    hep-th 2025-07 reject novelty 5.0 of 10

    For a scalar field on a sphere, the Fradkin-Vilkovisky measure combined with an on-shell cutoff identification converts the famous quadratic mass divergence into a logarithmic one.

  4. Diffeomorphism invariance of the effective gravitational action

    hep-th 2025-06 conditional novelty 5.0 of 10

    A careful calculation shows that the Fradkin-Vilkovisky path integral measure is diffeomorphism invariant, while the Fujikawa measure is not.

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