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We recalculate the two loop corrections in the background heat bath usingreal time formalism. The procedure of the integrations of loop momenta withdependence on finite temperature before the momenta without it, has beenfollowed. We determine the mass and wavefunction renormalization constants inthe low temperature limit of QED, for the first time with this preferred orderof integrations. The correction to electron mass and spinors in this limit isimportant in the early universe at the time of primordial nucleosynthesis aswell as in astrophysics.

Two Loop Low Temperature Corrections to Electron Self Energy