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We consider finite-size effects on the radiative energy loss of a fast partonmoving in a finite temperature strongly interacting medium, using the lightcone path integral formalism put forward by Zakharov. We present a convenientreformulation of the problem which makes possible its exact numerical analysis.This is done by introducing the concept of a radiation rate in the presence offinite-size effects. This effectively extends the finite-temperature approachof AMY (Arnold, Moore, and Yaffe) to include interference between vacuum andmedium radiation. We compare results with those obtained in the regimeconsidered by AMY, with those obtained at leading order in an opacityexpansion, and with those obtained deep in the LPM (Landau-Pomeranchuk-Migdal)regime.

Finite-size effects on the radiative energy loss of a fast parton in hot and dense strongly interacting matter