Charged Scalar Bosons under Rotation and Acceleration

Abstract

Creation of charged spinless bosons from vacuum in the rigidly rotating frame is studied in presence of the external static electromagnetic fields, being formed either in the resting, or in the general rotating or in the local-flat frames. It is shown that the description remains the same in the resting and the local-flat frames. More specifically, the case of a solenoid (magnetic flux tube) embedded into the rotating empty cylinder (rotation frame) is studied in presence or absence of a static square electric potential well \(e{{A}_{0}}\). A supervortex of a spinless-boson field can be created from vacuum when the rotation frequency exceeds a critical value \({{\Omega }_{{\text{c}}}}\). It is shown that \({{\Omega }_{{\text{c}}}}\) is smaller provided the solenoid rests in the resting frame. Then the case is considered when the rotating frame additionally moves with acceleration \(\vec {w}({\kern 1pt} \vec {r}{\kern 1pt} ') \ne 0\). A specific case \(w(r) = {G \mathord{\left/ {\vphantom {G r}} \right. \kern-0em} r}\) for \(G = {\text{const}}\) is treated explicitly. It is shown that for \(G < 0\) the charged spinless-boson vortex can be created in rapidly rotating system even in the limit when the magnetic and electric fields tend to zero.