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Study of QED singular properties for variable gyromagnetic ratio $g\simeq 2$

Johann RafelskiStefan EvansLance Labun
Dec 2022
摘要
Using the external field method, {\it i.e.\/} evaluating the effective action$V_{\mathrm{eff}}$ for an arbitrarily strong constant and homogeneous field, weexplore nonperturbative properties of QED allowing arbitrary gyromagnetic ratio$g$. We find a cusp at $g = 2$ in: a) The QED $b_0$-renormalization groupcoefficient, and in the infinite wavelength limit in b) a subclass containingthe pseudoscalar ${\cal P}^{2n}= (\vec E\cdot\vec B)^{2n} $ of light-lightscattering coefficients. Properties of $b_0$ imply for certain domains of $g$asymptotic freedom in an Abelian theory.
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