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・ Topological category
・ Topological censorship
・ Topological combinatorics
・ Topological complexity
・ Topological conjugacy
・ Topological data analysis
・ Topological defect
・ Topological degeneracy
・ Topological degree theory
・ Topological derivative
・ Topological divisor of zero
・ Topological drugs
・ Topological dynamics
・ Topological entropy
・ Topological entropy in physics
Topological excitations
・ Topological fluid dynamics
・ Topological functioning model
・ Topological game
・ Topological graph
・ Topological graph theory
・ Topological group
・ Topological half-exact functor
・ Topological index
・ Topological indistinguishability
・ Topological insulator
・ Topological K-theory
・ Topological manifold
・ Topological map
・ Topological modular forms


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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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