Charged pion vortices in rotating systems

TL;DR

This paper investigates the formation of charged pion vortices in rotating systems, demonstrating supervortex formation at high rotation speeds and analyzing conditions for vortex lattice creation in a pion gas.

Contribution

It introduces a theoretical study of charged pion vortices in rotating environments using the $rac{}{}||^4$ model, including electric field effects and vortex lattice conditions.

Findings

Supervortex formation at rapid rotation in vacuum.

Electric field significantly influences vortex configurations.

Conditions for vortex lattice formation in rotating pion gas are identified.

Abstract

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.