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Generalized Abelian Higgs sunspot endowed with a rotatory motion

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Abstract

An Abelian Higgs model of sunspot generalized in a Chern-Simons-like fashion is discussed. It is shown, in particular, that both themagnetic andelectric fields are present inside the sunspot, and that the latterrotates. One demonstrates that the total angular momentum of a static, cylindrically symmetric sunspot is proportional top 2, wherep — an integer — stands for the number of magnetic fluxquanta carried by the spot. Finally, the behaviour 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\(1.6\sqrt 2 \).

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Authors and Affiliations

  1. Astronomical Institute, Slovak Academy of Sciences, Tatranská Lomnica, Slovakia

    M. Saniga

  2. Department of Astronomy and Astrophysics Faculty for Mathematics and Physics, Comenius University, Bratislava, Slovakia

    J. Klačka

Authors
  1. M. Saniga
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  2. J. Klačka
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Saniga, M., Klačka, J. Generalized Abelian Higgs sunspot endowed with a rotatory motion. Astrophys Space Sci 206, 197–206 (1993). https://doi.org/10.1007/BF00658145

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