Static solitons with nonzero Hopf number
نویسندگان
چکیده
منابع مشابه
Static solitons with non - zero Hopf number
We investigate a generalized non-linear O(3) σ-model in three space dimensions where the fields are maps from R3∪{∞} to S2. Such maps are classified by a homotopy invariant called the Hopf number which takes integer values. The model exhibits soliton solutions of closed vortex type which have a lower topological bound on their energies. We numerically compute the fields for topological charge 1...
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In this paper we show how to quantize Hopf solitons using the Finkelstein-Rubinstein approach. Hopf solitons can be quantized as fermions if their Hopf charge is odd. Symmetries of classical minimal energy configurations induce loops in configuration space which give rise to constraints on the wave function. These constraints depend on whether the given loop is contractible. Our method is to ex...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1997
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.56.5194