In the framework of the thermo field dynamics (TFD) we discuss thermal
production of dileptons in quark gluon plasma (QGP) of finite tempera
ture and density up to the first order of QCD correction. We show that
the temperature effect to the thermal production rate is rather diffe
rent from that of the chemical potential, in fact, they give rise to o
pposite effects which may influence the observation of the dilepton pr
oduction in QGP.