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The presence of a nonconformally invariant term in the photon sector of the Lorentz-violating extension of the standard model of particle physics, the ``Kosteleck\'y term'' ${L}K{∝}({k}F{)}_{{α}{β}{μ}{ν}}{F}^{{α}{β}}{F}^{{μ}{ν}}$, enables a superadiabatic amplification of magnetic vacuum fluctuations during de Sitter inflation. For a particular form of the external tensor ${k}F$ that parametrizes Lorentz violation, the generated field possesses a planar symmetry at large cosmological scales and can have today an intensity of order of nanogauss for a wide range of values of parameters defining inflation. This peculiar magnetic field could account for the presently observed galactic magnetic fields and induces a small anisotropization of the Universe at cosmological scales. The resulting Bianchi I model could explain the presumedly low quadrupole power in the cosmic microwave background radiation.
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Leonardo Campanelli (2009) studied this question.
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