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topological excitations : ウィキペディア英語版
topological excitations
Topological excitations are certain features of classical solutions of gauge field theories.
Namely, a gauge field theory on a manifold M with a gauge group G may possess classical solutions with a (quantized) topological invariant called ''topological charge''. The term ''topological excitation'' especially refers to a situation when the topological charge is an integral of a localized quantity.
Examples:〔F. A. Bais, Topological excitations in gauge theories; An introduction from the physical point of view. Springer Lecture Notes in Mathematics, vol. 926 (1982)〕
1) M = R^2 , G=U(1) , the topological charge is called magnetic flux.
2) M=R^3 , G=SO(3)/U(1) , the topological charge is called magnetic charge.
The concept of a topological excitation is almost synonymous with that of a topological defect.
==References==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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