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Maxwell-Kosteleck\'y Electromagnetism and Cosmic Magnetization

Abstract

The Lorentz violating term in the photon sector of Standard Model Extension, LK = -14 (kF)α β μ Fα β Fμ (here referred to as the Kosteleck\'y 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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