Conserved momenta of ferromagnetic solitons through the prism of differential geometry
Keyword(s):
The relation between symmetries and conservation laws for solitons in a ferromagnet is complicated by the presence of gyroscopic (precessional) forces, whose description in the Lagrangian framework involves a background gauge field. This makes canonical momenta gauge-dependent and requires a careful application of Noether’s theorem. We show that Cartan’s theory of differential forms is a natural language for this task. We use it to derive conserved momenta of the Belavin–Polyakov skyrmion, whose symmetries include translation, global spin rotation, and dilation.
2017 ◽
Keyword(s):
2014 ◽
Vol 29
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pp. 55-61
Keyword(s):
2005 ◽
Vol 461
(2053)
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pp. 99-116
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2018 ◽
Vol 4
(2)
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pp. 69
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1987 ◽
Vol 8
(4)
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pp. 446-485
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2017 ◽
Vol 139
(3)
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pp. 457-502
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1969 ◽
Vol 1
(3)
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pp. 267-274
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