描述
开 本: 16开纸 张: 胶版纸包 装: 平装-胶订是否套装: 否国际标准书号ISBN: 9787519296032
正如作者在序言中所说,他们想象中此书的读者是一位不专门从事量子场论研究的“业余爱好者(amateur)”,其水平应该介于物理小白与量子场论专业人士之间,所以研习本书需要一定的本科物理知识。尽管作者把可能需要用到的物理基础都交代了,但缺乏物理基础的话,会对学习量子场论造成一定的困难。纵观众多量子场论教材或专著,本书可以称得上是极适合初学者自学的一本——兼顾了深度与广度,适合各个方向、各个阶段的学者阅读,故将书名译为《量子场论自学教程》。
建议与Michele Maggiore所著的《量子场论现代导论》(9787519296025),Mark Srednicki所著的《量子 场论》(9787510005749),Michael E. Peskin 和Dan V. Schroeder所著的《量子场论导论》 (9787519245481)参照研读,更深入学习可参阅诺奖得主Steven Weinberg的《量子场论》三卷。
量子场论可以说是有史以来影响最深远、最优美的物理理论,与物理学中的任何其他理论相比,量子场论在各方面都得到了更严格的检验和更精确的验证。然而这门科目却以难著称,在各种针对专业人士的厚重教材中,数学晦涩难懂,还要使用一种由气泡、波浪线、顶点和其他几何结构组成的奇怪图示语言来描述物理过程。对于任何怀有抱负的理论物理学家而言,学习这种数学与几何语言都是一场重要的入门仪式,绝大多数大学都设有量子场论研究生课程,并辅以大量具有参考价值的量子场论教材。这些书由专业的量子场理论家所写,为那些渴望加入他们的读者而设计。因此,这些书往往写得细致而又严谨,同时还需要用到高水平的复杂数学技巧。
作者写这本书的初衷是:量子场论如此重要无比又充满魅力,不该局限于研究量子场论的专业人士,实验物理学家、粒子物理学家、凝聚态物理学家等也能从量子场论中受益良多,获得洞见,但并非人人都像理论物理学家那样具有深厚的数学功底。量子场论让我们对物理世界有了一个截然不同的革命性观点,应该让更多的物理从业者有机会参与其中,所以作者希望为这类人写一本量子场论书。
全书分十一个部分,共五十一章(含第零章),前九部分介绍了经典场论、量子场论、统计场论、拓扑场论等,并间或补充了一些需要用到的量子力学、统计力学等知识;最后两部分介绍了量子场论在凝聚态物理和粒子物理中的应用。本书排版错落有致,结构张弛有度,内容详略得当,文笔精准优雅,插图生动形象,应当成为每一位量子场论研习者的案头读物。
- Overture
- The Universe as a set of harmonic oscillators
- Lagrangians
- Simple harmonic oscillators
- Occupation number representation
- Making second quantization work
- Writing down Lagrangians
- Continuous systems
- A first stab at relativistic quantum mechanics
- Examples of Lagrangians, or how to write down a theory
III. The need for quantum fields
- The passage of time
- Quantum mechanical transformations
- Symmetry
- Canonical quantization of fields
- Examples of canonical quantization
- Fields with many components and massive electromagnetism
- Gauge fields and gauge theory
- Discrete transformations
- Propagators and perturbations
- Ways of doing quantum mechanics: propagators and Green’s functions
- Propagators and Fields
- The S-matrix
- Expanding the S-matrix: Feynman diagrams
- Scattering theory
- Interlude: wisdom from statistical physics
- Statistical physics: a crash course
- The generating functional for fields
- Path Integrals
- Path Integrals: I said to him, “You’re crazy”
- Field Integrals
- Statistical field theory
- Broken symmetry
- Coherent states
- Grassmann numbers: coherent states and the path integral for fermions
VII. Topological ideas
- Topological objects
- Topological field theory
VIII. Renormalization: taming the infinite
- Renormalization, quasiparticles and the Fermi surface
- Renormalization: the problem and its solution
- Renormalization in action: propagators and Feynman diagrams
- The renormalization group
- Ferromagnetism: a renormalization group tutorial
- Putting a spin on QFT
- The Dirac equation
- How to transform a spinor
- The quantum Dirac field
- A rough guide to quantum electrodynamics
- QED scattering: three famous cross sections
- The renormalization of QED and two great results
- Some applications from the world of condensed matter
- Superfluids
- The many-body problem and the metal
- Superconductors
- The fractional quantum Hall fluid
- Some applications from the world of particle physics
- Non-abelian gauge theory
- The Weinberg-Salam model
- Majorana fermions
- Magnetic monopoles
- Instantons, tunnelling and the end of the world
Appendix A. Further reading
Appendix B. Useful complex analysis
“There is a need for a book on Quantum Field Theory that is not directed at specialists but, rather, sets out the concepts underlying this subject for a broader scientific audience and conveys joy in their beauty. Lancaster and Blundell have written with this goal in mind, and they have succeeded admirably.”
——Michael Peskin, SLAC National Accelerator Laboratory, Stanford University
“This wonderful and exciting book is optimal for physics graduate students. … The physical explanations are exceedingly well written and integrated with mathematics. Quantum field theory is the next big thing and this book will help the reader to understand and use the theory.”
——Optics & Photonics News
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