The Energy Loss Of Energetic Electron In QED Plasma

In the research of QGP, the research method of Jet Quenching associated with hard process has been worked thoroughly, which can be applied to study the proper-ties of QED medium. One important aspect of studying Jet Quenching is using G-W model under the framework of QCD to calculate the energy loss of energetic parton jet which undergoes multiple scattering by exchanging gluons with target partons and emits gluons through bremsstrahlung and energy gain in thermal medium due to absorbing gluons,but researching QED medium is under the framework of QED, so we should transform the G-W model of QCD to the G-W model of QED to calcu-late the energy loss of energetic electron jet which undergoes multiple scattering by exchanging photons with target electrons and emits photons through bremsstrahlung and energy gain in thermal medium due to absorbing photons.Using G-W model, the calculation of GLV shows that the energy loss of energetic partons jet can be calculated by opacity expansion, the energy loss by induced gluon through multiple rescattering decrease as the initial energy of the jet decrease, for the jets with the same initial energy the contribution of higher-order opacity is smaller than the lower-order opacity, which can be neglected entirely. Meanwhile, the calcu-lation of opacity expansion method also shows that the energy loss of emitting gluons induced by multiple scattering has a quadratic dependence on the medium length L. If consider the parton jet absorb gluons from thermal medium, that is detailed bal-ance, the calculation shows that effect of the detailed balance only takes important role for the intermediate energy parton jet, which must be valued in the calculation, but for the extremely high energy parton jet, the contribution of the effect of detailed balance is too trivial to be neglected.According to the transformed G-W model, we can calculate the energy loss of energetic electron jet which undergoes multiple scattering by exchanging photons with target particles and emits photons through bremsstrahlung and energy gain in thermal medium due to absorbing photons. The calculation shows that in the static QED plasma the energy loss of radiation and the energy gain of absorption are all linear dependence on the thicknessL of the QED plasma, for the elastic collision energy loss of the electron, we find that the elastic energy loss takes a main role in the energy loss when E/T is less than 100 and the radiated energy loss takes a main role when E/T is larger then 100.In the evoluted QED plasma, the energy loss of radiation and the energy gain of absorption are non-linear dependence on the thickness of the QED plasma which in fact becomes gentle. If consider detailed balance,we find that if the temperature T and the electron jet energy E have the same order of magnitude, detailed balance takes a important role in the energy variation of the QED medium,otherwise, if T is much smaller than E, the detailed balance can be neglected.