Soliton Solutions of the $\sigma$ Model and the Disoriented Chiral Condensates

Abstract

We derive travelling soliton solutions of the $\sigma$ model, relevant for the description of dynamics of pions, in the high-energy, heavy-ion collisions. These extended objects are analogs of Ne$\grave{e}$l and Bloch type defects in ferromagnetic systems and could possibly describe the disoriented chiral condensates. It is shown that these solutions are metastable and can naturally produce an asymmetry between ${\pi }^0$ and ${\pi }^{+}$, ${\pi }^{-}$ mesons in the soft-pion emissions from heavy-ion collisons.

Comments: 4 pages, LaTex, invited talk presented at workshop SOLITONS: properties, dynamics, interactions and applications, held at Kingston, Ontario, Canada, July 20 - Jul 26, 1997