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arXiv · 1802.10449

Classical electrodynamics and gauge symmetry of the X-boson

Mario J. Neves·Lucas Labre·Everton M. C. Abreu
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Abstract

In this paper we have obtained several new results concerning the X-boson, which is being considered recently as one of the main candidate of the dark matter particle content. The classical electrodynamics for the X-boson model was explored to understand its propagation in space-time. The field equations (Maxwell-type) and the corresponding wave equations were obtained. They indicate the dispersion relations of both a massive and massless particles. These results can be interpreted as a photon and the X-boson (with a mass of 17 MeV), respectively. The gauge symmetry and gauge transformations were discussed. A full model diagonalization was introduced to obtain a Maxwell sector added up to a Proca sector. After that, we have obtained the retarded Green functions which yield the inhomogeneous solutions of the wave equations for the X-boson fields. We have applied this solution to the charge point motion, and we transformed the potential solution to a quadrature problem. In particular, as an example, we have analyzed the point charge in a straight line uniform motion, where the corresponding electromagnetic charge were calculated.

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Mario J. Neves, Lucas Labre, Everton M. C. Abreu. 2018-02-25. Classical electrodynamics and gauge symmetry of the X-boson. https://doi.org/10.1142/s0217751x18501488

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