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- W2088893937 abstract "The perturbation series for electron-electron elastic scattering in quantum electrodynamics is studied in the limit of high energies. For this matrix element, in addition to the previously known terms which are proportional to $s$ (the square of the c.m. energy) and hence lead to a constant total cross section at high energies, there are found terms of the orders of magnitudes $smathrm{ln}s$, $s{(mathrm{ln}s)}^{2}$, $s{(mathrm{ln}s)}^{3}$, etc. For $n=1, 2, 3, dots{}$, the coefficient of $s{(mathrm{ln}s)}^{n}$ is a power series in the fine-structure constant $ensuremath{alpha}$, where the leading term is proportional to ${ensuremath{alpha}}^{2(n+1)}$ and is due to Feynman diagrams with $n$ closed electron loops. Physically, through the optical theorem, the presence of these terms is intimately related to the production of low-energy electron-positron pairs in high-energy electron-electron scattering, but is independent of whether the spin-1 particle is a photon with zero mass or massive neutral vector meson. These leading terms of order ${ensuremath{alpha}}^{2(n+1)}$ are explicitly found for all $n$, and are all imaginary, representing absorption. The procedure of summing the leading term is carried out, and the result demonstrates dramatically the importance of unitarity in the direct, or $s$, channel for high-energy processes. Generalization to two-body diffraction processes $a+bensuremath{rightarrow}{a}^{ensuremath{'}}+{b}^{ensuremath{'}}$ is immediate." @default.
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- W2088893937 title "Logarithmic Factors in the High-Energy Behavior of Quantum Electrodynamics" @default.
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- W2088893937 doi "https://doi.org/10.1103/physrevd.1.2775" @default.
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