Reduced dynamics of Ward solitons

Details Reduced dynamics of Ward solitons Reduced dynamics of Ward solitons

2004-11-05

arxiv.org/abs/hep-th/0411068v2

Nonlinearity 18 (2005) 1677-1689

Physics

High Energy Physics

High Energy Physics - Theory

Final version, to appear in Nonlinearity

Scientific paper

10.1088/0951-7715/18/4/014

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\"ahler 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.

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