Two Loop Low Temperature Corrections to Electron Self Energy

TL;DR

This paper recalculates two-loop finite temperature corrections to the electron self-energy in QED, providing new insights into mass and wavefunction renormalization relevant for early universe and astrophysical conditions.

Contribution

It introduces a novel order of loop momentum integration in the low temperature limit, yielding first-time calculations of electron mass and wavefunction renormalization at this order.

Findings

Calculated electron mass correction at low temperature.

Determined wavefunction renormalization constants.

Results relevant for primordial nucleosynthesis and astrophysics.

Abstract

We recalculate the two loop corrections in the background heat bath using real time formalism. The procedure of the integrations of loop momenta with dependence on finite temperature before the momenta without it, has been followed. We determine the mass and wavefunction renormalization constants in the low temperature limit of QED, for the first time with this preferred order of integrations. The correction to electron mass and spinors in this limit is important in the early universe at the time of primordial nucleosynthesis as well as in astrophysics.