A general method of quantization of topological excitations based on the order-disorder duality is applied to the Skyrmions of the ${\mathrm{CP}}^1$/nonlinear $\sigma$ model in 2 + 1 dimensions. A general formula expressing arbitrary Skyrmion correlation functions as well as an explicit operator realization for the Skyrmion field are obtained. For $\theta =0\mathrm{}$, we show that the Skyrmions condense.

• Received 5 July 1989

DOI:https://doi.org/10.1103/PhysRevD.41.727