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Quantum Field Theory, by Franz Mandl, Graham Shaw
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Following on from the successful first (1984) and revised (1993) editions, this extended and revised text is designed as a short and simple introduction to quantum field theory for final year physics students and for postgraduate students beginning research in theoretical and experimental particle physics.
The three main objectives of the book are to:
Explain the basic physics and formalism of quantum field theory
To make the reader proficient in theory calculations using Feynman diagrams
To introduce the reader to gauge theories, which play a central role in elementary particle physics.
Thus, the first ten chapters deal with QED in the canonical formalism, and are little changed from the first edition. A brief introduction to gauge theories (Chapter 11) is then followed by two sections, which may be read independently of each other. They cover QCD and related topics (Chapters 12-15) and the unified electroweak theory (Chapters 16 – 19) respectively. Problems are provided at the end of each chapter.
New to this edition:
Five new chapters, giving an introduction to quantum chromodynamics and the methods used to understand it: in particular, path integrals and the renormalization group.
The treatment of electroweak interactions has been revised and updated to take account of more recent experiments.
- Sales Rank: #893559 in Books
- Published on: 2010-05-17
- Released on: 2010-05-10
- Original language: English
- Number of items: 1
- Dimensions: 9.53" h x 1.05" w x 6.61" l, .0 pounds
- Binding: Paperback
- 492 pages
Review
"...designed as a short and simple introduction to quantum field theory for students beginning research in theoretical and experimental analysis." (Zentralblatt MATH, Vol. 972, 2001/22)
From the Publisher
Consists of three main objectives: to explain the basic physics and formalism of quantum field theory, to make readers totally proficient in theory calculations using Feynman diagrams, to introduce gauge theories which play a major role in elementary particle physics. This revision contains developments of W and Z bosons and their implications, updated references and an improved treatment of dimensional regularization.
From the Back Cover
Following on from the successful first (1984) and revised (1993) editions, this extended and revised text is designed as a short and simple introduction to quantum field theory for final year physics students and for postgraduate students beginning research in theoretical and experimental particle physics.
The three main objectives of the book are to:
- Explain the basic physics and formalism of quantum field theory
- To make the reader proficient in theory calculations using Feynman diagrams
- To introduce the reader to gauge theories, which play a central role in elementary particle physics.
Thus, the first ten chapters deal with QED in the canonical formalism, and are little changed from the first edition. A brief introduction to gauge theories (Chapter 11) is then followed by two sections, which may be read independently of each other. They cover QCD and related topics (Chapters 12-15) and the unified electroweak theory (Chapters 16 – 19) respectively. Problems are provided at the end of each chapter.
New to this edition:
- Five new chapters, giving an introduction to quantum chromodynamics and the methods used to understand it: in particular, path integrals and the renormalization group.
- The treatment of electroweak interactions has been revised and updated to take account of more recent experiments.
Most helpful customer reviews
76 of 81 people found the following review helpful.
The one and only book for the beginner.
By tonatiuh
Let me put it this way: I consider a serious mistake for any student NOT to use this book as their first book in Quantum Field Theory. This book is the absolute must for any beginner before he or she moves on into the "fancier" books of the field.
It starts smoothly and someone need only have a basic course in quantum mechanics and analytical (Lagrangian) dynamics. The nice thing about the book is that it is SELF CONTAINED. You start from chapter one and you can go along through the end without ever needing to open any other book. Everything is in there. Also it has nice and very helpfull appendices that have gothered all the formulae, conventions and diagrams that you need in order to calculat any electroweak cross section.
In this book you will learn all the story about canonical quantization in a very clear and informative way. I consider a CRIME for a physics student to start learning Quantum Field Theory with the path integral approach. You loose immedately the physical picture and the particle content of the theory because you are confronted right from the start with mathematical structures that you have never seen and handling them correctly takes away the physics content of the subject. Believe me I have been there! With Mandl you will always be close to the quantum of the field ,which is the particle, you will see it right in fron of your eyes beeing created, propagated and then annihilated, and you will have a clear picture of what is really going on (quantum theory permitting of course).
Mandl gives you right from the beginning all the tricks and tools of the trade for calculating Feynman diagrams. After reading and understanding this book I personally guarantee to you that will be able to calculate any first order diagram in the electro-weak theory and a lot of higher order diagrams too. He introduces in a very pleasant way the trace theorems and the tricks in order to calculate cross sections.
His treatment of the electroweak Lagrangian is superb. He really starts from the beginning and slowly builds up writing down the whole Lagrangian, its symmetries and its uses. His treatment of the gauge symmetry is a real beauty. It really opens your mind. I could go on forever writting about this great book and how much it helped me cope with this difficult for beginners field. You will not be lost in difficult mathematics that will take away from you the real physics and on the other hand you dont loose anything. He has exactly the right material for a first rigorous course in Quantum Field Theory. His treatment of renormalization is also great.
I consider Mandl to be one of the most prominent pedagogists in the physics field and I have the utmost respect for him. The reason for this is that I have gained a very strong background in both Quantum Field Theory and Statistical Mechanics just by reading his books.
The serious student of particle physics will eventually have to move on to the path integral approach, renormalization of the electro-weak theory, renormalization group, QCD etc. BUT without having a solid background in the topics included in Mandl's book this effort will be fruitless and frustrating. Take my word for it.
23 of 23 people found the following review helpful.
A very gentle introduction to quantum field theory
By A Customer
This is the best book from which to learn quantum field theory for the first time. Its very easy to understand and concise. Unfortunately it only treats canonical quantization (no mention of path integrals) and most of the emphasis is on QED. The treatment of SU(2)xU(1) electro-weak theory is a very good introduction to non-abelian gauge theory. Overall, it as an excellent book but need s to be supplemented by a more advanced book like Peskin & Schroeder
12 of 13 people found the following review helpful.
Thoughtful introduction to QFT
By Ryoji Watanabe
I just want to contribute my five stars.
I'm not a specialist or active in this field, but I enjoy trying to to keep up with interesting things I was led to in college. Hence perhaps I provide the ideal perspective of the perpetual student...
I have several of the other standard texts, which I have at least perused to understand their level and approach. I find Mandl and Shaw to be the best *introduction*. Here are some reasons I like it:
- It is the best book of the bunch that is both completely deep in what it covers and self-contained (but of course it strictly assumes the implicit prerequisites: core quantum mechanics and everything you are likely to have studied if you studied that).
- It focues on the canonical approach. I'm a rabid Feynman worshipper, but in my opinion the path integral approach is best left to the second pass, because it requires two hurdles: a math one-- path calculus--, and a physics one-- shifting focus to the Lagrangian approach to QM. I find the canonical approach a better continuation of core quantum mechanics, hence a better entry point. So learn to count breadth-first; and then have fun discovering you can count it depth-first too.
- The text has a thoughtful logical order of development: Spin 0, 1/2, 1... I think I see a pattern...
Lastly, it is sprinkled with really physically deep commentary on results. Eg, how to understand spin and statistics; or when they frankly describe high-k regularization (a.k.a. math fudging) as possibly modeling new real physics. This arena is both foundational and cutting-edge-- "unfinished"; I like it that they tell it as it is.
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