Accurate Calculation Result Of The Renormalized Finite Quantity Function Of E-ē One-loop Propagator

Since its establishment of in the early 20th century, quantum field, which describes the interactions of microscopic particles with high energies, has all the times been the successful phenomenology theory and effective calculation method. Nevertheless, when it is adopted to do theoretical calculations, the mature and perfect technique has still been the perturbation theory as yet. It is easier to make lower-ordered (tree diagrams)perturbation calculations with no'divergent'difficulties, However, when it concerns with high-ordered cases, the'divergent'problems will appear. Although the renormalization theory can eliminate these problems reasonably, the arising calculation issues will lead to the extraordinary complexity and difficulties in dealing with the theoretical calculations.The study of renormalization calculations in theory, especially the'exact'ones has gone through nearly one century, there has hitherto been no great breakthrough in the methods. Renormalization theory can separate out the non-physical'divergent quantities'in high-ordered(loop diagrams) calculations, and reserve the physical'finite quantities'. In a number of significant physics problems which need deep studies and discussions, it is particularly necessary to consider and seek the renormalization'finite quantities'in one-loop cases at least----although their contributions(radiation corrections) are small, it is of significance in the terms of exact descriptions, such that the'exact'calculations of renormalization problems make significant sense in theoretical studies compared with the approximate ones.Thanks to the importance of renormalization theory , together with the complexity in theoretical calculations, the study of renormalization calculations has gained close attention of academia all through. However, when it involves with the concrete calculations, various approximate calculation theories and methods are being used after approximate considerations of the real physics problems being carried out. In this paper, the writer rigorously studied the analytical calculations of one-loop renormalization propagator S_{F c} (单圈)(p) transmitting electromagnetic interactions between electrone—positrone , which is set in the important interaction theory in quantum field theory——the least coupling model of electromagnetic interactions, namely, quantum electrodynamics(QED), the writer also obtained the'exactly'theoretical results when the'rigorously'analytical calculations of S_{F c} (单圈)(p) being accomplished after a series of effective techniques being adopted to deal with the renormalization finite quantities got from the'momenta normalization'of loop functionΠ( p). Although the'ultraviolet divergency'has been removed when the renormalization finite quantitiesΠ_c (p) being'momenta normalized', there exists additional divergency——'infrared divergency'; therefore, the writer should think about how to eliminate the'infrared divergency'at first. Withal, the writer made particular analyses and examinations, and then did proper separation and reasonable removal about the'infrared divergency'to make sure that the final results got from'exact'calculations be reliable and valid. Moreover, after completing thorough analyses and discussions over the relevant'radiation corrections', the writer arrived at the important conclusions of reference significance, which will not only provide some rewarding references for the theoretical studies of the exact renormalization calculations, but also supply kind of approaches to the theoretical calculations for the testing of quantum electrodynamics(QED) in another perspective, which bears certain references and literature meaning.