Resummation of QED radiative corrections in a strong constant crossed field
Resummation of QED radiative corrections in a strong constant crossed field
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DOI：
10.1103/physrevd.102.053005
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发表时间：
2020-03
期刊：
影响因子：
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通讯作者：
A. Mironov;S. Meuren;A. Fedotov
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文献类型：
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作者：
A. Mironov;S. Meuren;A. Fedotov
通过考虑到三圈阶的辐射修正，Ritus和Narozhny证明了在强恒定交叉场中QED的适当展开参数是$g=\alpha\chi^{2/3}$，其中动力学量子参数$\chi=e\sqrt{-（Fp）^2}/m^3$结合了粒子动量$p$和外场强度张量$F$。在这里，我们提出并讨论了第一个非微扰的结果在这种情况下，在一个恒定的交叉场的电子自能的图示泡型极化修正。我们的分析证实了相关的标度参数$g $气泡型辐射修正的增强。该参数实际上代表了单圈偏振泡与光子虚度之比的特征值。经过一个全阶的重新计算，我们确定并讨论了两个贡献的自能与不同的形成区域和渐近行为的$g\gg1$。而微扰理论的故障已经发生了$g\gtrsim1$，领先的顺序的结果仍然占主导地位，直到渐近制度$g\gg1 $达到。然而，后者是特定的过程，如弹性散射或光子发射，并不一定要保持真实的一般高阶QED过程。
By considering radiative corrections of up to 3rd-loop order, Ritus and Narozhny conjectured that the proper expansion parameter for QED in a strong constant crossed field is $g=\alpha\chi^{2/3}$, where the dynamical quantum parameter $\chi=e\sqrt{-(Fp)^2}/m^3$ combines the particle momentum $p$ with the external field strength tensor $F$. Here we present and discuss the first non-perturbative result in this context, the resummed bubble-type polarization corrections to the electron self-energy in a constant crossed field. Our analysis confirms the relevance of the scaling parameter $g$ to the enhancement of bubble-type radiative corrections. This parameter actually represents the characteristic value of the ratio of the 1-loop polarization bubble to the photon virtuality. After an all-order resummation we identify and discuss two contributions to the self-energy with different formation regions and asymptotic behavior for $g\gg1$. Whereas the breakdown of perturbation theory occurs already for $g\gtrsim1$, the leading-order result remains dominant until the asymptotic regime $g\gg 1$ is reached. However, the latter is specific to processes like elastic scattering or photon emission and does not have to remain true for general higher-order QED processes.