Reduced dynamics of Ward solitons
Copyright policy )Reduced dynamics of Ward solitons
The moduli space of static finite energy solutions to Ward's integrable chiral model is the space $M_N$ of based rational maps from $\CP^1$ to itself with degree $N$. The Lagrangian of Ward's model gives rise to a K��hler metric and a magnetic vector potential on this space. However, the magnetic field strength vanishes, and the approximate non--relativistic solutions to Ward's model correspond to a geodesic motion on $M_N$. These solutions can be compared with exact solutions which describe non--scattering or scattering solitons.
Final version, to appear in Nonlinearity
High Energy Physics - Theory, Mathematics - Differential Geometry, Soliton equations, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Applications of variational problems in infinite-dimensional spaces to the sciences, FOS: Physical sciences, Mathematical Physics (math-ph), Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, reduced dynamics, High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), FOS: Mathematics, moduli space, Ward solitons, Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics
High Energy Physics - Theory, Mathematics - Differential Geometry, Soliton equations, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Applications of variational problems in infinite-dimensional spaces to the sciences, FOS: Physical sciences, Mathematical Physics (math-ph), Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, reduced dynamics, High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), FOS: Mathematics, moduli space, Ward solitons, Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics
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