  In terms of the parton-hadron-string-dynamics (PHSD) approach - including the
retarded electromagnetic field - we investigate the role of fluctuations of the
correlation function in the azimuthal angle $\psi$ of charged hadrons that is
expected to be a sensitive signal of local strong parity violation. For the
early time we consider fluctuations in the position of charged spectators
resulting in electromagnetic field fluctuations as well as in the position of
participant baryons defining the event plane. For partonic and hadronic phases
in intermediate stages of the interaction we study the possible formation of
excited matter in electric charge dipole and quadrupole form as generated by
fluctuations. The role of the transverse momentum and local charge conservation
laws in the observed azimuthal asymmetry is investigated, too. All these
above-mentioned effects are incorporated in our analysis based on
event-by-event PHSD calculations. Furthermore, the azimuthal angular
correlations from Au+Au collisions observed in the recent STAR measurements
within the RHIC Beam-Energy-Scan (BES) program are studied. It is shown that
the STAR correlation data at the collision energies of $\sqrt{s_{NN}}$ = 7.7
and 11.5 GeV can be reasonably reproduced within the PHSD. At higher energies
the model fails to describe the $\psi$ correlation data resulting in an
overestimation of the partonic scalar field involved. We conclude that an
additional transverse anisotropy fluctuating source is needed which with a
comparable strength acts on both in- and out-of-plane components.
