Based fully on the finite temperature field theory, we calculate the Feynma
n diagram to analyse the new infrared divergence caused by the temperature
effect in the bremsstrahlung process. It turns out that both of the infrare
d divergence at the zero and finite temperature can be cancelled by the ide
ntical Feynman diagram of virtual processes. We derive the probability of r
adiating a net energy omega in bremsstrahlung processes and the result in E
ikonal approximation is the same as that obtained in the semi-classical app
roximation.