Photon production from a thermalized quark-gluon plasma of finite lifetime is studied directly in real time with a nonequilibrium formulation that includes off-shell (energy nonconserving) effects. To lowest order we find that production of direct photons form a quark-gluon plasma of temperature T ∼ 200 MeV and lifetime t ∼ 10 − 20 fm/c is strongly enhanced by off-shell (anti)quark bremsstrahlung q(q) → q(q)γ. The yield from this nonequilibrium finite-lifetime effect dominates over those obtained from higher order equilibrium rate calculations in the range of energy E > 2 GeV and falls off with a power law for E ≫ T .PACS numbers: 12.38. Mh, 11.10.Wx The observation of a novel phase of matter, the quarkgluon plasma (QGP), is one of the most important goals of ultrarelativistic heavy ion experiments currently undertaken at CERN SPS and BNL RHIC [1]. The quarkgluon plasma formed in the early stage of the collision expands and cools rapidly to a mixed phase of quarks, gluons, and hadrons, and ultimately undergoes a freeze-out from a state of hadronic gas. Estimates based on energy deposited in the central collision region at RHIC energies √ s ∼ 200A GeV suggest that the lifetime of a deconfined phase of quark-gluon plasma is of order 10−20 fm/c with an overall freeze-out time of order 100 fm/c [2]. An important aspect is an assessment of nonequilibrium effects associated with the rapid expansion and finite lifetime of the plasma and their impact on experimental observables.Amongst various experimental signatures proposed to detect the quark-gluon plasma phase, photons (both real and virtual) have long been considered as the most promising direct signals [3]. This is because, unlike strongly interacting hadrons, photons have a mean free path much larger than the typical size of the plasma formed in ultrarelativistic heavy ion collisions. Once produced they escape from the system without further interaction, thus carrying clean information from the early hot quark-gluon plasma phase.The first observation of direct photon production in ultrarelativistic heavy ion collisions has been recently reported by the CERN WA98 Collaboration in Pb+Pb collisions at √ s = 158A GeV [4]. The transverse momentum distribution of direct photons is determined on a statistical basis and compared to the background photon yield predicted from a calculation of the radiative decays of hadrons. The most interesting result is that a significant excess of direct photons beyond that expected from proton-induced reaction at the same √ s is observed in the range of transverse momentum greater than about 1.5 GeV/c in central collisions. While it is not yet clear whether a QGP was formed in the central collision region at SPS energies, this result does suggest the experimental feasibility of direct photon production as a signal of the QGP phase, expected to be formed at RHIC energies. One goal of this article is to study directly in real time the effect of the finite QGP lifetime on direct photon production. We focus on the direct photon yield fr...