117 Chapter 4: Fluctuations in Jet Tomography can be drawn. More work is needed to sort out coherence and correlation effects between elastic and inelastic processes that occur in a finite time and with multiple collisions. Classical electrodynamics calculations presented in [244] suggested that radiative and elastic processes could destructively inter- fere over lengths far longer than previously thought. However, the formalism used does not disentangle known radiative Ter-Mikayelin effects [305] from expected finite size collisional effects. More important, the authors inconsis- tently treat their current as conserved (using j 0 = kj$_{L}$/ω ) while simultaneously dropping the backwards-moving partner parton term from the current (thus violating current conservation by producing, at a finite time, a charge without a corresponding opposite charge); this results in a spurious subtraction of the (negative) binding energy of the pair and a correspondingly drastic reduction in the elastic energy loss. As seen in [245], a proper accounting of the current shows finite size effects persist out only to the expected lengths of order the screening scale, 1 /µ$_{D}$ < ∼ 1 fm. Recent work on the quantum mechanical treat- ment of elastic loss in a finite-sized medium [247, 404] also concluded that these effects are small. At the same time, the authors of [247, 404] disagree on the effects of interference between the radiative and elastic contributions; a so- lution of this problem may involve the proper inclusion of transition radiation [302]. In addition, the radiative and elastic energy losses depend sensitively on the coupling, Δ E rad ∝ α 3 S and Δ E el ∝ α 2 $_{S}$. Future calculations will have to relax the fixed α$_{S}$ approximation and allow it to run. The energy loss