An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics.
After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
No doubt in recommending this book to any one seeking a first contact with QFT. From classical to quantized field dynamics, Peskin and Schroeder skip no discussion in this “Introduction” and still their pace is totally adequate for a semestral course on the subject. The simple case of a complex scalar field is used as a starting point to establish a basic approach to interacting field theories. Latter on such approach is revisited by introducing the path integral formalism, thus delivering a second perspective on interacting QFTs. Introducing both abelian and non-abelian gauge groups the authors derive the rules of the fundamental interactions force by force and, with a lot of detailed case studies, they never fail to give a comprehensive review of the processes involving the most fundamental degrees of freedom predicted by the Standard Model. A whole chapter has been dedicated to spontaneous symmetry breaking, highlighting the important case of the Higgs mechanism and most of its phenomenology. In the end the reader is taken to the frontier of high energy physics by learning about the possible directions for completing the Standard Model as well as its intricacies. Being such a complete book I must finish the review by recommending it to researchers on the subject as well!
This is the standard graduate-level intro to QFT text; at least it was in 2000s when I was in school. It's got the same clinical, serious, joyless air as other "canonical" graduate texts like Jackson; it's rigorous but long-winded in places, making it a formidable opponent to anyone seeing this stuff for the first time. There is a strong focus on QFT as a calculational tool, and if you ever plan on computing multi-loop corrections to scattering amplitudes, this book is probably the only show in town. The coverage of path integral quantization and renormalization group theory are also some of the best I've seen.
But, unless you seriously need to kick the shit out of quantum field theory, there are more relaxed, conceptually-oriented, and well-written texts out there, like Mandl & Shaw or Ryder.
An excellent, thoroughly readable and pedagogically excellent introduction to the field, starting from the basics of field quantisation, through some systematics of renormalisation and into an exploration of non-abelian gauge theory, with very good problem sets as well.
There are aspects of the discussion which could use a little more rigour, the most obvious example being the discussion of the renormalisation group, and I would have liked to have seen a more detailed discussion of the renormalisation process, but overall very good.
This was very hard, but very clear and thus very helpful. I couldn't imagine a better book to make the leap from quantum mechanics to quantum field theory. My favorite passage:
"The basic feature of anticommuting numbers is that they anticommute." (p. 299)
However, the term "introduction" in the title must not be deceptive. The required previous knowledge is considerable and those who have not familiarized themselves with classical electrodynamics, quantum mechanics and the corresponding mathematical tools in advance will hardly succeed in getting started with this book.
This book taught me that I am not nearly as smart as I thought.
In all seriousness, it's a very thorough if slightly dated book. If I had to pick one book to learn QFT, this might be it. The only real problem is there aren't official solutions available, so if trying to self study you'll need to do some digging to make sure your solutions are correct.
I found the first chapters about the quantization of fields very unclear. I think that this fundamental introduction is much more well explained in other books which are not about quantum fields in the first place, such as "Geometry and spacetime" by Carroll or are about more advanced topics such as "Introduction to Quantum effects in gravitation" by Mukhanov.
The calculations in the chapters about QED, the scattering amplitudes and the renormalization are very well made and very useful to approach the basic tools used in QFT. As a student I really appreciated all the explanations and the full calculation reported. I found the part about perturbation theory the best part of the book.
I found really hard to study renormalization theory and RG flow in Peskin. As a personal point of view this is the weakest part of the book. In particular, in the part about the epsilon expansion, I had hard time in following all the steps in the calculations. I think that the topic is covered much better in the classic "Field theory" by Ramond. However, this comment could be affected by excessive subjectivity since, personally, renormalization theory is the topic in physics that has always created the most difficulties to me.
As an Introduction to the subject I think that the final chapters about the spontaneous symmetry breaking, the Higgs mechanism and the Weak and Strong interaction do their job without excelling or failing.
After all I would like to suggest this book as a first approach to QFT. After having assimilated the fundamental concepts and having digested the necessary calculation tools, I would move on to Weinberg's book.
Read a good portion of the part 1 and 2 of this book. This is a classic QFT textbook that many students will encounter if they ever studied the subject. The first four to five chapters are already enough to gave you some basic footing in the subject.
The reading experience isn’t always pleasant. The material is dense (both computationally and conceptually), and crucial steps are also omitted at times. So if this is your first QFT textbook, I’d strongly advice having a second book just to help break down some things here. That said, the book has excellent coverage of more advanced topics. Dimensional regularization, renormalization, and RG flow is explained beautifully here. So is the path integral approach and effective actions. I am going through the non-Abelian gauge theory section soon by myself in order to understand Yang-Mills theory and aspects of QCD.
Would give this a 3.5/5. Would recommend it, just know what you’re getting yourself into.
The textbook I tried to read first was Srednicki, but that book confused me deeply, so I switched to this one. I'm not in a position to compare this book with others on the subject, as it's the first textbook I've read on QFT. However, I can confidently recommend it to any graduate student who wants to get started with QFT.
It discusses everything in enough detail to enable a confused graduate student, such as myself, to develop a proper intuition and reasoning, which is no easy feat for something as vast as quantum field theory.
This book by Michael Peskin is a heaven for anyone who wants to do computation in Quantum Field Theory. It prepares you for the challanges in the modern particle physics and string physics as well. Dr. Peskin has added addendum for this book on his website and equipped with that addendum on non perturbative QFT, a student is set on the way to learn supersymmetry and then, string theory and other related stuff.
Not for beginners. 3rd-year undergrad to professor is my recommended audience. Very good introduction to the many facets of QFT. Not for a first particle physics course. I recommend Griffiths elementary particles if you want to get into particle physics