The authors have investigated the problem of quantum radiation generated by the uniformly accelerated motion of a small 4 D-spherical mirror, which is a particular case of the general dynamical Casimir effect. The construction of the Feynman Green function for scalar massless field, employing the Wick’s rotation, is dealt with.
The set up of the problem discussing the model as well as geometry, series representation of Euclidean Green function, wave-zone regimes and the energy density flux in wave zones are studied in detail. Analytical continuation to the Minkowski spacetime is emphasized.
The considerations of the vacuum polarization effects in the presence of uniformly accelerated spherical mirrors can be extended to the quantum radiation by a single accelerated mirror as to other quantum states.
A good number (34) of standard references to literature given enhances the value of the work.