Second Order Corrections to the Magnetic Moment of Electron at Finite Temperature

TL;DR

This paper calculates second order thermal corrections to the electron's magnetic moment at temperatures relevant to primordial nucleosynthesis, revealing complex temperature dependence and potential behavior changes.

Contribution

It provides a detailed two-loop level calculation of thermal contributions to the electron's magnetic moment at early universe temperatures, extending previous one-loop analyses.

Findings

Magnetic moment becomes a complex function of temperature.

Behavior of magnetic moment changes around nucleosynthesis temperatures.

Quantitative comparison of thermal effects below and above nucleosynthesis temperature.

Abstract

Magnetic moment of electron at finite temperature is directly related to the modified electron mass in the background heat bath. Magnetic moment of electron gets modified when it couples with the magnetic field at finite temperature through its temperature dependent physical mass. We show that the magnetic moment of electron becomes a complicated function of temperature and even change its temperature dependent behavior around the energies for primordial nucleosynthesis. We calculate the self-mass induced thermal contributions to the magnetic moment of electron, up to the two loop level, for temperatures valid around the era of primordial nucleosynthesis. A comparison of thermal behavior of the magnetic moment is also quantitatively studied in detail, around the temperatures below and above nucleosynthesis temperature range.