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- W2575573402 abstract "Abstraet. 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 confor- mal compensating potential. It is shown that there exists a fundamental difference between 'conformal' and 'ordinary' electromagnetic fields; whcreas the 'ordinary' total magnetic flux of a spot is quantized its 'conformal' anatogue 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. theoretical aspects (being intimately related to the properties of the Sun's space-time geometry). It is especially the latter fact which turns out to be of a crucial impor- tance in developing further this model; a massless, complex scalar field is shown to exhibit all relevant properties of the Higgs field if coupled minimally to an elec- tromagnetic vector potential in the background of a globally conformally symmetric 'semi-metric' space-time, provided that the structure of the latter is governed by the Einstein equations with non-vanishing positive-valued cosmological constant (Saniga, 1992e). We should stress here that it is namely the requirement of a confor- mal symmetry which, in its global aspect, 'wakes up' the Higgs character of the above-mentioned scalar field with the help of a non-zero cosmological term (a non- linearity or self-coupling of the scalar field) and the Ricci scalar curvature of the Sun's space-time (its non-zero vacuum value; see Saniga, 1992e). We can rephrase the last statement saying that the transformation of the massless complex-valued scalar field into a Higgs field here is a 'gravitationally-induced' phenomenon. On the other hand we have shown in detail (Saniga, 1990a,b, 1992 a-c; Saniga and Kla~ka, 1992) that it is the Higgs field which seems to play a principal role within the framework of our sunspot theory; it not only generates a relatively strong (amounting to 3-4 kG) spot's magnetic field, hut also causes both its con- finement into a finite-dimensional, sharply-bounded flux tube and the total magnetic flux quantization (ensuring thereby an overall stability of the spot) to occur. It is, therefore, evident that the conformal symmetry of the Abelian Higgs" @default.
- W2575573402 created "2017-01-26" @default.
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- W2575573402 date "1993-01-01" @default.
- W2575573402 modified "2023-09-27" @default.
- W2575573402 title "THE A BELIAN H IGGS S UNSPOT E NDOWED W ITH A LOCAL C ONFORMAL S YMMETRY" @default.
- W2575573402 hasPublicationYear "1993" @default.
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