The role of finite kinematic bounds in the induced gluon emission from fast quarks in a finite size quark-gluon plasma

We study the influence of finite kinematic boundaries on the induced gluon radiation from a fast quark in a finite size quark-gluon plasma. The calculations are carried out for fixed and running coupling constant. We find that for running coupling constant the kinematic correction to the radiative energy loss is small for quark energy $\gtrsim 5$ GeV. Our results differ both analytically and numerically from that obtained by the GLV group. The effect of the kinematic cut-offs is considerably smaller than reported in.