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Gravitational Coleman-Weinberg Mechanism

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arxiv 2212.01785 v2 pith:NQCR4YJG submitted 2022-12-04 hep-ph

classification hep-ph
keywords gravitationalmechanismscalarcoleman-weinbergsymmetryanalysebreakingmass
verification ladder T0 review T1 audit T2 compute T3 formal
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The Coleman-Weinberg mechanism provides a procedure by which a scalar field, which initially has no mass parameters, acquires a mass due to the anomalous nature of scale symmetry. Loop corrections trigger a spontaneous symmetry breaking and the appearance of a non-trivial vacuum. We first review the basic example of the ColemanWeinberg mechanism, scalar Quantum Electrodynamics, in a perturbative regime where the scalar particle becomes massive through photon loops. We then present the main results of this article, what we name the gravitational Coleman-Weinberg mechanism: we analyse the same effect in a gravitational theory without explicit energy scales at tree-level. Finally, we also study the mechanism for two scalar fields in the mentioned gravitational theory. We will derive the gravitational Coleman-Weinberg potentials, analyse the parameter space where we have a symmetry breaking, and obtain the value of the corresponding scalar masses.

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Cited by 3 Pith papers

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

  1. Lorentz violating quadratic gravity

    hep-th 2026-03 reject novelty 6.0 of 10

    Bumblebee–quadratic gravity needs new Lorentz-violating counterterms at one loop, but the displayed computation has a gauge-parameter inconsistency and the classical Schwarzschild/de Sitter solutions are the robust part.

  2. Primordial Black Holes (as Dark Matter) from the Supercooled Phase Transitions with Radiative Symmetry Breaking

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Supercooled radiative symmetry breaking phase transitions generically produce primordial black holes, and the false-vacuum decay rate grows exponentially with time to high accuracy.

  3. Supercooled Phase Transitions with Radiative Symmetry Breaking

    hep-ph 2026-02 unverdicted novelty 3.0 of 10

    Supercooled phase transitions from radiative symmetry breaking can be described, at leading and next-to-leading order, by formulas depending only on three or four parameters (χ0, β̄, g, and g̃ at NLO).

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