【作者】 易俊梅；

【导师】 张忠灿；

【作者基本信息】 重庆大学 ， 理论物理， 2007， 硕士

【摘要】 自上世纪初在量子力学和狭义相对论基础上建立量子场论以来,量子场论经历了不断的发展和完善,至今已发展为包括量子电动力学,量子规范场理论,量子电动力学,量子色动力学,量子电弱统一理论等许多重要的现代基础理论;这些理论对于描述微观高能粒子运动及其相互作用,粒子产生与湮没以及探索新粒子,新物理现象等许多备受关注的重要研究工作中,起到了十分重要的理论描述与指导作用。然而,长期以来,将量子场论具体用于理论描述时,计算方法的研究占有十分重要的位置,并由此形成了各种各样的理论计算方法。目前,关于量子场论计算方法研究已构成了量子场论方法研究的重要内容之一,备受理论物理学术界关注。在本文中,采用量子场论中核子(反核子)与中性介子强相互作用的Lorentz不变耦合模型,对模型中强耦合顶角单圈图重整化做了有效理论计算并获得十分有用的解析计算结果。首先就重整化理论的形成、历史上研究与发展背景和有关研究现状作了十分完整的介绍。其次对核子(反核子)与中性介子强耦合单圈图顶角作了有效“动量正规化”理论分析与计算处理,从而有效分离掉其中非物理“发散量”而获得物理“有限量”的解析计算式。接着对这一有用的“有限量”解析计算式进行了理论计算上的分析与化简处理,分离出其中的“初等函数”与“超越函数”部分,同时还对极点漂移小量ε提前作了合理处理,为有效解析计算创造了有利条件。然后分别对强耦合单圈顶角重整化“有限量”中的“初等函数”部分和“超越函数”部分作了严格解析计算和有效解析计算,获得了十分有用的解析计算结果。最后对所获得的理论计算结果,进行了深入、细致的理论分析和数值计算处理,获得了有关“辐射修正”的具体探讨结果。本论文为量子场论重整化计算方法作了十分有理论价值的研究,是一篇在理论物理研究中有较高学术价值的论文。本论文不但具有较大的难度而且其研究成果,可为以后的重整化量计算提供参考。因而,在量子场论重整化计算方法研究中无疑具有较高学术参考价值。更多还原

【Abstract】 Since the beginning of last century, quantum field theory, based on quantum mechanics and special relativity, comes through much development and improvement. And now it becomes one of the most important basic theories for quantum electric mechanics, quantum gage theory, quantum chromo-dynamics, quantum electric-weak uniform theory and so on. These theories play an important role on describing the motion and interaction of microscopic high-energy particle, creation and annihilation particle and even exploratory new particles and new physics phenomenon. However, the research of calculation method holds the extremely important position when describing theory using quantum field theory for a long time. So kinds of theoretical calculation methods exist. At present, the research on the calculation method of quantum field theory becomes one of the most important contents in this field, which is highly concerned by theoretical physical scientist.In this dissertation, we have calculated the apex angle renormalization quantity of strong coupling unicycle graph and obtained very useful results, using the strong interaction between nucleon (ant-nucleon) and neutral meson of quantum field theory under the Lorentz constant coupling model. Firstly, we introduced completely the form of renormalization theory and its background. Secondly, we analyzed and calculated the apex angle renormalization quantity of strong coupling unicycle graph between nucleon (ant-nucleon) and neutral meson with the method of momentum normalization, so we separated finite quantity from infinite quantity and obtained the analytical form. Thirdly, we divided the analytical form into two parts after doing analysis and simplification. One is primary function and the other is transcendental function. At the same time, we dealt with the drift small quantityεof pole reasonably, which would do a great favor for later calculation. Forth, we calculated the two parts separately and obtained very useful results. At last, we obtained the radiation correction results after analyzing deeply.In this dissertation, we have done some valuable research on the renormalization calculation of quantum field theory. This dissertation has high academic value in theoretical physics research. This dissertation is difficult to some extent. And its results can be used for the future calculation of renormalization quantity. So it can be as a reference for this field.更多还原