泡链近似下强恒定交叉场中辐射修正的结构
Structure of radiative corrections in a strong constant crossed field in the bubble-chain approximation
摘要：
本文提出了一种结合泡链光子和首阶电子传播子的强恒定正交电磁场中电子质量算符的计算方法。光子传播子是由戴森级数在1 PI偏振环插入的总和，并占一般形式。应用导出的质量算符，我们得到了泡链电子传播子和弹性散射振幅。结果表示在$γ$矩阵结构的一般形式的扩展，每个乘以一个标量不变的电子虚函数和量子动力学参数$χ$。我们进行渐近分析，并确定在$χ\gg 1$的主要贡献。用泡链电子传播子代替首阶电子传播子，可以推广计算结果。这将允许一个一致的研究戴森Schwinger方程在完全非微扰制度$αχ^{2/3}\gtrsim1$内的泡链近似。此外，我们还附带了包含所有计算的开放访问计算机代数脚本[https：//github.com/ArsenyMironov/SFQED-Loops]。
英文摘要：
We present a calculation of the electron mass operator combining the bubble-chain photon and the leading order electron propagators in a strong constant crossed electromagnetic field. The photon propagator is obtained by a summation of the Dyson series over 1PI polarization loop insertions and is accounted for in general form. By applying the derived mass operator, we find the bubble-chain electron propagator and the elastic scattering amplitude. The results are expressed in the general form of expansion over $γ$-matrix structures, each multiplied by a scalar invariant function of the electron virtuality and the quantum dynamical parameter $χ$. We perform their asymptotic analysis and identify the dominant contribution at $χ\gg 1$. The presented calculations can be generalized by replacing the leading order electron propagator with the bubble-chain one. This will allow a consistent study the Dyson-Schwinger equations in the fully nonperturbative regime $αχ^{2/3}\gtrsim1$ within the bubble-chain approximation. In addition, we accompany our paper with the open-access computer-algebraic scripts containing all the presented computations [https://github.com/ArsenyMironov/SFQED-Loops].
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