Pion condensation at rotation in magnetic field, electric, and scalar potential wells

Instability of the charged pion vacuum resulting in the pion condensation is studied within the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>λ</a:mi><a:mo stretchy="false">|</a:mo><a:mi>ϕ</a:mi><a:msup><a:mo stretchy="false">|</a:mo><a:mn>4</a:mn></a:msup></a:math> model at the rapid rotation of the system in presence of external fields. Case of the static external scalar and electric square potential wells and the uniform magnetic field is studied in detail. The Meissner and Aharonov-Bohm effects and the London moment are taken into account. Analogies and differences with the behavior of metallic superconductors under the action of the rotation and the external magnetic field are analyzed.