Weak and Electromagnetic Radiative Corrections in Atomic Physics

量子电动力学(QED)是近年来非常活跃的研究领域。两种理论技术，S矩阵理论和有效场论，可以系统地处理多电子系统，前者对高电荷态离子最有用，后者对中性、少电子原子最有用。鉴于该理论的成功，该领域的另一个重要方向是利用实验和QED理论的高精度，使原子成为非QED物理的测试基础。最引人注目的用途是重原子中的宇称非守恒(PNC)，另一个重要的用途是核物理。这项研究的第一个主要重点将是氦的精细结构作为确定精细结构常数的一种方法。电子g-2方法的极端复杂性，最近在木下S的计算中发现的一个误差，表明了另一种方法的价值。另一个重点将涉及高电荷态离子的研究，继续与劳伦斯利弗莫尔国家实验室的K.T.程长期合作。提出了类钠离子光谱计算的完备性和类铜离子的推广。还将研究高电荷态离子的超精细分裂。第三个研究领域是反冲校正。在一个高度相对论的系统中，反冲的治疗只有另一个小组进行过。阿德金斯和我一直在研究一种独立的方法来解决这个问题，并建议继续这项研究。反冲技术的另一个用途是处理光子-Z玻色子交换图，该图具有尚未在Bethe-Salpeter框架下评估的束缚奇异性。最终目标是编写一本关于束缚态量子场理论的教科书。上述研究中使用的大多数技术还没有在教科书中得到很好的描述，这样做，以及对Bethe和Salpeter的专著进行亟需的更新，是这项工作的目的。

Quantum Electrodynamics (QED) has been a very active field in recent years. Twotheoretical techniques, S-matrix theory and effective field theory, allow the systematictreatment of many-electron systems, with the former being most useful for highlycharged ions and the latter for neutral, few-electon atoms.Given the success of the theory, another important direction the field is going in is theuse of the high precision of both experiment and QED theory to make atoms testinggrounds for non-QED physics. The most striking use has been parity nonconservation(PNC) in heavy atoms, and another important use is in nuclear physics.A first major focus of this research will be in the fine structure of helium as a way ofdetermining the fine structure constant. The extreme complexity of the electron g-2approach, recently shown by an error found in Kinoshita?s calculations, indicates thevalue of an alternative approach. Independent checks of a recent calculation ofPachucki are proposed.A second focus will involve research on highly charged ions, continuing a long standingcollaboration with K.T. Cheng of Lawrence Livermore National Laboratory. Completionof calculations of the spectra of sodiumlike ions along with extension to copperlike ionsis proposed. Hyperfine splitting in highly charged ions will also be studied.A third research area is recoil corrections. The treatment of recoil in a highly relativisticsystem has been treated only by one other group. G. Adkins and I have been workingon an independent approach to the problem, and continuation of this research isproposed. Another use of recoil techniques is in the treatment of photon-Z bosonexchange diagrams, which have a binding singularity that has not yet been evaluated ina Bethe-Salpeter framework.A final goal, with broader impact, is writing a textbook on bound state quantum fieldtheory. Most of the techniques used in the research described above have not yet beenwell described in textbook form, and doing this, along with giving a much needed updateof Bethe and Salpeter's monograph, is the intention of this work.