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One-loop corrections in Maxwell-metric-affine bumblebee gravity

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arxiv 2402.17605 v2 pith:CGUBFKM4 submitted 2024-02-27 hep-th

A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio This is my paper · ORCID
classification hep-th
keywords fieldbumblebeetheorycouplingsgravityabeliancorrectionseffective
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abstract

In this paper, we consider the coupling of the metric-affine bumblebee gravity to the Abelian gauge field and obtain the effective model corresponding to the weak gravity limit of this theory. The effective bumblebee theory displays new unconventional couplings between the bumblebee field and its field strength, and the $U(1)$ gauge field along with its respective field strength, as a result of the non-metricity effects. Thus, being a new gauge-bumblebee theory, it represents an example of vector-vector couplings which are very rarely considered, if not entirely overlooked, in the Abelian case. For this theory we calculate the lower perturbative corrections. We close the paper with discussions of other possible vector-vector couplings.

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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. 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. Nonrelativistic effective potential of the bumblebee model

    hep-th 2025-12 conditional novelty 5.0 of 10

    The leading-order nonrelativistic potential in the bumblebee model is a Coulomb potential with charge rescaled by (1 - (mβξ/2)^2), producing a hydrogen level shift of order m^3β^2ξ^2.

  3. Exact Black Hole Solutions in Bumblebee Gravity with Lightlike or Spacelike VEVS

    gr-qc 2025-10 conditional novelty 5.0 of 10

    New exact Schwarzschild-like, (A)dS-like, and charged black holes in bumblebee gravity with a two-component vector VEV keep Lorentz-violating corrections even when the VEV is lightlike, with Wald and first-law entropi...

  4. Particle dynamics and optical appearance of charged spherically symmetric black holes in bumblebee gravity

    gr-qc 2025-06 conditional novelty 4.0 of 10

    For charged bumblebee black holes, the photon sphere and shadow radii decrease with the Lorentz-violation parameter and charge, producing distinct photon-ring appearances under thin disk emission.

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