Solitons with Hopf Index versus Skyrmions in SU(2) Nonlinear Sigma Model
نویسندگان
چکیده
منابع مشابه
Fermions and solitons in the O(3) nonlinear sigma model in 2+1 space-time dimensions.
The field theory lim it of antiferromagnetism with holes is described using the O(3) nonlinear sigma mode l. The m inimal coupling to the spin-wave gives a Pauli term that couples the hole charge density to the topological charge density for solitons. This term leads to drastic consequences; an attractive potential for holes and solitons, spin-charge coupling for the holes and zero-momentum mod...
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The Hopf term in the 2+ 1 dimensional O(3) nonlinear sigma model, which is known to be responsible for fractional spin and statistics, is re-examined from the viewpoint of quantization ambiguity. It is confirmed that the Hopf term can be understood as a term induced quantum mechanically, in precisely the same manner as the θ-term in QCD. We present a detailed analysis of the topological aspect ...
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We re-examine three issues, the Hopf term, fractional spin and the soliton operators, in the 2 + 1 dimensional O(3) nonlinear sigma model based on the adjoint orbit parametrization (AOP) introduced earlier. It is shown that the Hopf term is well-defined for configurations of any soliton charge Q if we adopt a time independent boundary condition at spatial infinity. We then develop the Hamiltoni...
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The Gauss maps of non-degenerate surfaces in the Lorentz-Minkowski three space are viewed as dynamical fields of the two-dimensional O1(3) Nonlinear Sigma Model. In this setting, it is completely determined the moduli space of solitons which have a rotational symmetry. They are essentially generated by elastic curves in either a de Sitter plane, a hyperbolic plane or an anti de Sitter plane. An...
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The O(3) nonlinear sigma model with boundary, in dimension two, is considered. An algorithm to determine all its soliton solutions that preserve a rotational symmetry in the boundary is exhibited. This nonlinear problem is reduced to that of clamped elastica in a hyperbolic plane. These solutions carry topological charges that can be holographically determined from the boundary conditions. As a...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1985
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.73.1287