Electromagnetic Lepton pair production from relativistic heavy ion collision The primary goal of the RHIC project is the creation and study of a so-called quark-gluon plasma. This unique form of matter is expected to be formed in the central, or near-central, collisions of heavy-ions at extreme relativistic energies. The thermodynamic conditions attained in these central collisions are expected to be such that the constituent quarks and gluons of baryons and mesons become deconfined in a new and short-lived plasma state. Electron- and muon-pair production from hadronic interactions have been widely discussed as a possible tool to help probe the formation and decay of the quark-gluon plasma phase of the matter. In the conditions of such central collisions, lepton-hadron final state interactions are usually small, and hence the leptons carry direct informations on the space time region of creation. However, suggestions by several authors indicate that other sources of lepton pairs might possibly mask the leptonic signals originating from the plasma phase. Electromagnetic production from the vacuum of single and multiple lepton pairs is a major contribution to this physical background and therefore must be understood in detail. On the other hand, when heavy-ions collide at relativistic velocities, the Lorentz contracted electromagnetic fields in the space time region near the collision are sufficiently intense to produce large numbers of electron-positron pairs, muon-pairs, vector bosons and possibly the yet-unconfirmed Higgs bosons. All these processes occur at nearly atomic distance scales. The phenomena involved are pervasive, impinging upon atomic, nuclar, and particle physics.