Charged pion vortices in rotating systems

Possibilities for formation of the charged pion field vortices in a rotating empty vessel (in vacuum) and in the rotating pion gas with a dynamically fixed particle number at zero temperature are studied within the $\lambda|\phi|^4$ model. It is shown that in the former case at a rapid rotation a supervortex of a charged pion field can be formed. Important role played by the electric field is demonstrated. Field configurations in presence and absence of the pion self-interaction are found. Conditions for formation of the vortex lattice at the rotation of the charged pion gas at zero temperature are studied. Observational effects are discussed.