A Modern Introduction to Quantum Field Theory (Oxford Master Series in Physics)

A Modern Introduction to Quantum Field Theory (Oxford Master Series in Physics)
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量子场论的现代导论(牛津物理学硕士系列)

DOI:
10.1088/0264-9381/22/12/b01
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发表时间:
2005
影响因子:
3.5
通讯作者:
N. Straumann
N. Straumann
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
N. Straumann

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这本关于量子场论的新书由Michele Maggiore很好地融入了牛津物理学硕士系列,该系列是为物理学最后一年的本科生和研究生设计的。它是根据作者与学生在日内瓦大学四年级的教学经验。从这个意义上说,这是一个两个学期的教科书,为学生接触到量子场论的第一次。马焦雷给出了,略低于300页,平衡介绍了一个广阔的领域,二十世纪物理学,这将有助于学生继续学习更先进和专业的课程。除了在粒子物理学中的许多过程中的应用,也可以在许多其他教科书中找到,作者强调量子场论的概念,结构和方法论方面。经过一个介绍性的章节,群论工具所需的实施洛伦兹不变性在量子场论发展了30页。第3章是专门介绍经典场论,强调对称性和守恒定律。下一章中自由场的量子化遵循传统的路线。这里人们可能会错过一节描述的数学结构的福克空间。这也不是说,在无限维冯诺依曼的唯一性定理的代表性的典型交换关系不再成立。详细讨论了操作C、P、T。在相对较长的第五章中,发展了微扰理论和重整化。在这种情况下,作者讨论了现代观点的可重整性,并强调在一个单独的一节宇宙常数问题的严重性,在量子场论。接下来的三章提供了理论的应用,特别是量子电动力学和电弱理论的低能极限。第9、10和11章是通向更高级课程的桥梁。在这些,路径积分量子化,非阿贝尔规范理论和自发对称性破缺接受第一次治疗。这本书结构很好。在每一章的结尾都给出了一个总结,其中一些包含了一个有指导意义的“解决问题”部分。前八章中提出的许多练习在最后一章中解决。这本书的米歇尔马焦雷应该成为一个标准的文本,为现代介绍量子场论。
This new book on quantum field theory by Michele Maggiore fits well into the Oxford Master Series in Physics, which is designed for final year undergraduate and beginning graduate students in physics. It is based on the teaching experience of the author with students in the fourth year at the University of Geneva. In this sense it is a two-semester course book for students exposed to quantum field theory for the first time. Maggiore gives, on slightly less than 300 pages, a balanced introduction to a vast field of twentieth century physics that will help students going on to study more advanced and specialized courses. Beside applications to many processes in particle physics that can also be found in many other textbooks, the author emphasizes conceptual, structural and methodological aspects of quantum field theory. After an introductory chapter, the group theoretical tools required to implement Lorentz invariance in quantum field theory are developed on 30 pages. Chapter 3 is devoted to classical field theory, emphasizing symmetries and conservation laws. The quantization of free fields in the next chapter follows traditional lines. Here one may miss a section describing the mathematical structure of the Fock space. It is also not said that in infinite dimensions von Neumann's uniqueness theorem for the representations of the canonical commutation relations no longer holds. The operations C, P, T are carefully discussed. In the relatively long chapter 5, perturbation theory and renormalization are developed. In this context the author discusses the modern view on renormalizability, and also emphasizes in a separate section the seriousness of the cosmological constant problem in quantum field theory. The next three chapters provide applications of the theory, especially to quantum electrodynamics and the low-energy limit of the electroweak theory. Chapters 9, 10, and 11 are meant as a bridge to more advanced courses. In these, path integral quantization, non-Abelian gauge theories and spontaneous symmetry breaking receive a first treatment. The book is very well structured. At the end of each chapter a summary is given and some of them contain an instructive 'Solved Problems' section. The many exercises posed in the first eight chapters are solved in a final chapter. This book by Michele Maggiore should become a standard text for a modern introduction to quantum field theory.