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Luca Visinelli showed that the duality symmetry can be carried over to the axion-electromagnetic theory as well.

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) is a hypothetical elementary particle postulated by the Peccei–Quinn theory in 1977 to resolve the strong CP problem in quantum chromodynamics (QCD).

If axions exist and have low mass within a specific range, they are of interest as a possible component of cold dark matter.

, strong interactions of the standard model, QCD, possess a non-trivial vacuum structure that in principle permits violation of the combined symmetries of charge conjugation and parity, collectively known as CP.

Together with effects generated by weak interactions, the effective periodic strong CP-violating term, , appears as a Standard Model input – its value is not predicted by the theory, but must be measured.

Incorporating the axion into the electromagnetic theory also gives a new differential equation – the axion law – which is simply the Klein-Gordon Equation (the quantum field theory equation for massive spin-zero particles) with an The Italian PVLAS experiment searches for polarization changes of light propagating in a magnetic field.

The concept was first put forward in 1986 by Luciano Maiani, Roberto Petronzio and Emilio Zavattini. Several experiments search for astrophysical axions by the Primakoff effect, which converts axions to photons and vice versa in electromagnetic fields.

Axion-like bosons could have a signature in astrophysical settings.

In particular, several recent works have proposed axion-like particles as a solution to the apparent transparency of the Universe to Te V photons.

However, large CP-violating interactions originating from QCD would induce a large electric dipole moment (EDM) for the neutron.

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