Generalized Abelian Higgs sunspot endowed with a rotatory motion

Physics

Scientific paper

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Electric Fields, Rotation, Solar Magnetic Field, Solar Physics, Sunspots, Angular Momentum, Equations Of Motion, Magnetic Flux, Stellar Models

Scientific paper

An Abelian Higgs model of sunspot generalized in a Chern-Simons-like fashion is discussed. It is shown, in particular, that both the magnetic and electric fields are present inside the sunspot, and that the latter rotates. One demonstrates that the total angular momentum of a static, cylindrically symmetric sunspot is proportional to p squared, where p -- an integer -- stands for the number of magnetic flux quanta carried by the spot. Finally, the behavior of the Higgs field amplitude, magnetic and electric field strengths are illustrated for the spots carrying one to five flux quanta, all having the penumbra-to-umbra radius ratio of the value 1.6 x square root of 2.

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