We study classical solutions of the vector O(3) sigma model in (2 + 1) dimensions, spontaneously broken to O(2) x Z(2). The model possesses Skyrmion-type solutions as well as stable domain walls which connect different vacua. We show that different types of waves can propagate on the wall, including waves carrying a topological charge. The domain wall can also absorb Skyrmions and, under appropriate initial conditions, it is possible to emit a Skyrmion from the wall.
机构:
Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi ArabiaBadji Mokhtar Univ, Fac Sci, Dept Phys, Radiat Phys Lab, Annaba 23000, Algeria