  The photon-photon interaction in ultra-relativistic heavy-ion collision is a
source of the $(e^+,e^-)$ pairs. The photon-photon fusion leads the lepton
creation in the broad configuration space around "collision" point. Those
created close to heavy nuclei may undergo strong interaction with them. The
impact parameter space distribution of electrons and positrons are calculated
within the b-space EPA model of such collisions. The evolution due to the
electromagnetic interaction of $(e^+,e^-)$ with nuclei is studied, and the
distortion of rapidity and transverse momentum distributions are shown. We show
first exploratory results for the reaction Pb+Pb at $\sqrt{s_{NN}}=$ 17.3 GeV
(SPS) and 200 GeV (RHIC) energies. We provide results for selected creation
points and when integrating over their position as dictated by the $b$-space
EPA model. We observe strong effects at low transverse momenta, so far not
measured regions of the phase space. In particular, we predict a possible
sizeable accumulation of electrons with rapidities close to the beam rapidity.
The EM effects lead to asymmetry in the production of electrons and positrons.
