Accurate Calculation Of The Chain-diagram Effect For Double-photon Creation In QED

In quantum field theory, the basic method for researching the interaction between particles is the perturbation theory, of which the main difficulty is the Feynman integral divergences when it comes to considering high-order correction, which becomes the major factor for restricting its development. On the basis of the perturbation method in quantum field theory, the current paper adopts the minimum coupling model of electromagnetic interaction between electron-positron and photon to study the process for the creation of double-photon via electron-positron annihilation with the renormalized chain-propagator of electron-positron ; besides, theoretical analyses and discussions over one comparatively complicated process of electromagnetic interaction inside the reaction were made, and the differential cross-section for double-photon production through electron-positron annihilation with both the renormalized one-loop and infinite-order-loop chain-propagators of electron-positron have been figured out rigorously; Furthermore, after the comparison between this result with that obtained in the tree-diagram sector, it is shown that the corrections arising from both the renormalization chain-diagram and one-loop diagram bears physical significance, moreover, the difference between the corrections due to the two renormalization scenarios is negligible. All of these help arrive at the conclusion that the calculation methods and manipulation approaches adopted in the present paper are effective in the physical sense. This study will provide certain academic references to two scenarios, including both the deep research on the theoretical analyses of the minimum electromagnetic coupling model and thorough exploration into the physics of electromagnetic interaction.It should noted out that radiative corrections contributing from the renormalization chain-diagram of positron-electron has only been considered in the present paper, others such as the vertex corrections are missed out, in fact, the exact treatment of the vertex corrections is a complicated but sensible work in the later study.