Continuous Axion Photon Duality and its Consequences

Abstract

The axion photon system in an external magnetic field, when for example considered with the geometry of the experiments exploring axion photon mixing, displays a continuous axion-photon duality symmetry in the limit the axion mass is neglected. The conservation law that follows from this symmetry is obtained. The magnetic field interaction is seen to be equivalent to first order to the interaction of a complex charged field with an external electric potential, where this ficticious "electric potential" is proportional to the external magnetic field. This allows to solve for the scattering amplitudes using already known scalar QED results. It is argued that in more generic conditions (not just related to these experiments) axion-photon condensation could be obtained for high magnetic fields. Finally an exact constraint originating fromthe current conservation on the amplitudes of reflected and transmited waves is obtained.

7 pages, Latex, pacs:11.30.Fs, 14.80.Mz, 14.70.Bh

References in corpus (2)

• Photon Regeneration from Pseudoscalars at X-ray Laser Facilities
• Scattering of a relativistic scalar particle by a cusp potential

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• Remarks on confinement driven by axion-like particles in Yang-Mills theories
• Photon Production From The Scattering of Axions Out of a Solenoidal Magnetic Field
• Coupling Electromagnetism to Global Charge
• Axions Scattering From a Quadrupole Magnetic Field
• Radio-loud Magnetars as Detectors for Axions and Axion-like Particles