The Abelian Higgs sunspot endowed with a local conformal symmetry

Details The Abelian Higgs sunspot endowed with a local conformal symmetry The Abelian Higgs sunspot endowed with a local conformal symmetry

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993ap%26ss.199..147s&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 199, no. 1, p. 147-158.

Astronomy and Astrophysics

Astrophysics

6

Electromagnetism, Solar Magnetic Field, Sunspots, Degrees Of Freedom, Symmetry

Scientific paper

We show that the requirement of a local conformal symmetry of the Abelian Higgs sunspot leads, at least formally, to a complex-valued electromagnetic potential, whose imaginary part is a conformal compensating potential. It is shown that there exists a fundamental difference between 'conformal' and 'ordinary' electromagnetic fields; whereas the 'ordinary' total magnetic flux of a spot is quantized its 'conformal' analogue has to vanish if the Higgs field is to be single-valued. We further stress that such a 'complex-valued' Abelian Higgs field configuration mimics quite well, under certain conditions (all the salient features of) the classical Abelian Higgs sunspot.

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