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Durham e-Theses
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Skyrmion and other extended solutions of non-linear σ-models in 2 and (2+1) dimensions

Stokoe, Ian (1987) Skyrmion and other extended solutions of non-linear σ-models in 2 and (2+1) dimensions. Doctoral thesis, Durham University.



Low dimensional models are generally regarded to be a convenient theoretical laboratory for studying various aspects of elementary particle theory. In this thesis, the extended solutions of one particular class of such models, namely the ₵p(^n-1) non-linear a-models in 2 dimensions, are discussed. Special attention is paid to the shape of these extended structures and their dependence on the parameters of the solutions. Time dependence is introduced into the models, and properties of the moving objects in these (2 + l)-dimensional theories are explored. In particular, the Hopf terms of the theories are investigated, and their relation to the spin of the extended solutions is discussed. Also the classical dynamics of these moving objects, and their explanation in terms of the geodesic motions on certain Hermitian and Kāhler manifolds is considered. Finally the embedding of the (₵p(^n-1) solutions into the 2-dimensional U(n) chiral models is studied, paying particular attention to the stability of these embedded solutions in the larger group space, and to the number of independent negative modes of the fluctuation operator around these solutions.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Thesis Date:1987
Copyright:Copyright of this thesis is held by the author
Deposited On:08 Feb 2013 13:44

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