摘要
We discuss static particle-like solitons in the (2+1)-dimensional CP(1) model with a small mass deformation m preserving a U(1) x Z(2) symmetry in the Lagrangian. Due to the breaking of scale invariance, the energy function becomes a strictly increasing function of the soliton size rho, and therefore no classical finite size solution exists in this model. To remedy this we employ a well known technique of introducing a fourth-order derivative term in the Lagrangian to force the soliton action to diverge at small values of rho. With this additional term the action exhibits a stable minimum at fixed size rho.
- 出版日期2013-12-20