On the chiral connection between the ferromagnet,the axisymmetric gravitational problem and the SU(2) vacuum gauge field |
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| Authors: | Minoru Hirayama Hsiung Chia Tze Jun Ishida Tetsuji Kawabe |
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| Institution: | Department of Physics, Toyama University, Toyama 930, Japan;J. Willard Gibbs Laboratory, Yale University, New Haven, CT 06520, USA;Department of Physics, Osaka University, Toyonaka 560, Japan;Department of Physics, Kyushu University, Fukuoka 812, Japan |
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| Abstract: | A single chiral structure is shown to underly several three-dimensional field equations of physics, e.g., the ferromagnet, the stationary axi-symmetric gravitational problem, and the vacuum SU(2) gauge field in the Coulomb gauge. This connection invites cross-fertilization of exact solutions. As illustrations, exact finite energy solutions are obtained for the ferromagnet via the corresponding Weyl, Kerr, and Tominatsu-Sato solutions of Einstein's gravitational equations. Comments are made on the “local gauge invariance” of the ferromagnet and the gravitational field. |
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