论文标题
对数增强了Euler-Heisenberg Lagrangian对电子旋转因子的贡献
Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor
论文作者
论文摘要
与以前认为的相反，对在$ \ MATHCAL {O} \ left（α^2（Zα）^5 \右）$绑定的电子的$ g $ factor的两环辐射校正表现出对数的增强。以前未知的贡献是由于长距离光线的散射幅度引起的。采用有效的现场理论方法，并使用Euler -Heisenberg lagrangian，我们发现$ΔG= - \ left（\fracαπ\ right）^2 \ left（zα\ right）^5 \ frac {56π} {135} {135} {135} {135} \ lnzα$。
Contrary to what was previously believed, two-loop radiative corrections to the $g$-factor of an electron bound in a hydrogen-like ion at $\mathcal{O}\left(α^2 (Zα)^5\right)$ exhibit logarithmic enhancement. This previously unknown contribution is due to a long-distance light-by-light scattering amplitude. Taking an effective field theory approach, and using the Euler-Heisenberg Lagrangian, we find $Δg = -\left( \fracαπ \right)^2\left(Zα\right)^5 \frac{56 π}{135}\ln Zα$.
