Vacuum stabilized by anomalous magnetic moment

An analytical result for Euler-Heisenberg effective action, valid for electron spin $g-$factor $|g|<2$, was extended to the domain $|g|>2$ via discovered periodicity of the effective action. This allows for a simplified computation of vacuum instability modified by the electron’s measured $g=2.002319$. We find a strong suppression of vacuum decay into electron positron pairs when magnetic fields are dominant. The result is reminiscent of mass catalysis by magnetic fields.

Figure 1

Ratio $\Im [{\mathcal{L}}_{\mathrm{EH}}(a,b,g=2.002319)]/\Im [{\mathcal{L}}_{\mathrm{EH}}(a,b,g=2)]$ is plotted against $a$, at fixed values of $b$ in units ${\mathcal{E}}_{\mathrm{EH}}$.

Figure 2

$\Im [{\mathcal{L}}_{\mathrm{EH}}(a,b,g)]/\Im [{\mathcal{L}}_{\mathrm{EH}}(a,b=0,g=2)]$ is depicted as a function $b/a$. Dashed line shows rescaled mass function from Eq. (21) with $g=2.002319$.