T. Gisiger et Mb. Paranjape, SOLITONS IN A BABY-SKYRME MODEL WITH INVARIANCE UNDER AREA-PRESERVINGDIFFEOMORPHISMS, Physical review. D. Particles and fields, 55(12), 1997, pp. 7731-7738
We study the properties of soliton solutions in an analogue of the Sky
rme model in 2+1 dimensions whose Lagrangian contains the Skyrme term
and the mass term, but no usual kinetic term. The model admits a symme
try under area-preserving diffeomorphisms. We solve the dynamical equa
tions of motion analytically for the case of spinning isolated baryon-
type solitons. We take fully into account the induced deformation of t
he spinning Skyrmions and the consequent modification of its moment of
inertia to give an analytical example of related numerical behavior f
ound by Piette, Schroers, and Zakrzewski. We solve the equations of mo
tion also for the case of an infinite, open string, and a closed annul
ar string. In each case, the solitons are of finite extent, so called
''compactons,'' being exactly the vacuum outside a compact region. We
end with indications on the scattering of baby Skyrmions, as well as s
ome considerations as the properties of solitons on a curved space.