Abstract
The Lorentz violating term in the photon sector of Standard Model Extension, $\mathcal{L}_K = -{$\frac14$} (k_F)_{αβμν} F^{αβ} F^{μν}$ (here referred to as the Kostelecký term), breaks conformal invariance of electromagnetism and enables a superadiabatic amplification of magnetic vacuum fluctuations during inflation. For a wide range of values of parameters defining Lorentz symmetry violation and inflation, the present-day magnetic field can have an intensity of order of nanogauss on megaparsec scales and then could explain the large-scale magnetization of the universe.
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