Thermal corrections to the bound-electron $g$-factor

TL;DR

This paper calculates how blackbody radiation at finite temperatures affects the bound-electron $g$-factor in hydrogenlike ions, showing that thermal effects are significant enough to be observed with current or near-future experiments.

Contribution

It provides the first comprehensive quantum electrodynamics analysis of thermal corrections to the bound-electron $g$-factor across various states and temperatures.

Findings

Thermal corrections are comparable to current experimental uncertainties.

Finite temperature effects are detectable at room temperature for excited states.

Results suggest potential for experimental verification of thermal effects on $g$-factor.

Abstract

The influence of the blackbody radiation field on the $g$-factor of light hydrogenlike ions is considered within the framework of quantum electrodynamics at finite temperature for bound states. One-loop thermal corrections are examined for a wide range of temperatures. The numerical results for $1s$, $2s$, $2p_{1/2}$, and $2p_{3/2}$ states are presented. It is shown that for excited states finite temperature corrections to the bound-electron $g$-factor are close to the level of current experimental uncertainty even at room temperatures and can be discerned within the measurements anticipated in the near future.