Late time behaviour for Hard Parton Evolution using the Schwinger-Keldysh Formalism

AdS/CFT computations have been used to describe the energy loss of QCD-like particles moving through a strongly coupled plasma, but little is understood regarding the initial conditions of these jets. We are investigating an analytic description of jet initial conditions through the time evolution of hard partons by means of the Schwinger-Keldysh Formalism.We have derived a general formula for the late time expectation value of the total 4- momentum in terms of the differential cross-section and the initial 4-momenta of the system. As a consistancy check, we have found the same expression for lim_x^o_→∞ 〈∫d³xT_μν(x)〉 for an interacting scalar field theory to leading order. (paper)