Physics
Scientific paper
Nov 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993ap%26ss.209...39s&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 209, no. 1, p. 39-49
Physics
1
Field Theory (Physics), Magnetic Flux, Penumbras, Solar Magnetic Field, Solar Prominences, Sunspots, Symmetry, Amplitude Distribution Analysis, Brightness Distribution, Magnetohydrodynamics, Phase Shift, Stellar Models, Vortices
Scientific paper
Fundamental properties on both the phase and amplitude distributions of the Higgs field characterizing a pair of equally-quantized, Abelian Higgs sunspots are examined. Guided by symmetry principles one shows that in case of equal (opposite) orientation of the spots' magnetic field the lines of a constant phase represent a family of hyperbolae (circles) passing through the centers of sunspots, F1 and F2, whereas the curves of a fixed amplitude are in both cases the Cassini curves with the foci F1 and F2. Following the hypothesis that both spots' penumbral and spot-connected filaments are stretched out along the lines of constant phase these theoretical findings are shown to mimic remarkably well the data inferred from observations.
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