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Quantum Field Theory and the Standard Model [Englisch] [Gebundene Ausgabe]

Matthew D. Schwartz

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15. Dezember 2013
Providing a comprehensive introduction to quantum field theory, this textbook covers the development of particle physics from its foundations to the discovery of the Higgs boson. Its combination of clear physical explanations, with direct connections to experimental data, and mathematical rigor make the subject accessible to students with a wide variety of backgrounds and interests. Assuming only an undergraduate-level understanding of quantum mechanics, the book steadily develops the Standard Model and state-of-the-art calculation techniques. It includes multiple derivations of many important results, with modern methods such as effective field theory and the renormalization group playing a prominent role. Numerous worked examples and end-of-chapter problems enable students to reproduce classic results and to master quantum field theory as it is used today. Based on a course taught by the author over many years, this book is ideal for an introductory to advanced quantum field theory sequence or for independent study.

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'This is an excellent graduate-level relativistic quantum field theory text, covering an impressive amount of material often with a very novel presentation. It would be ideal either for courses on relativistic quantum field theory or for courses on the Standard Model of elementary particle interactions. The book provides interesting insights and covers many modern topics not usually presented in current texts such as spinor-helicity methods and on-shell recursion relations, heavy quark effective theory and soft-collinear effective field theory. It is nice to see the modern point of view on the predictive power of non-renormalizable theories discussed. Once in a generation particle physicists elevate a quantum field theory text to the rank of classic. Two such classics are the texts by Bjorken and Drell and Peskin and Schroeder; it wouldn't surprise me if this new book by Schwartz joins this illustrious group.' Mark Wise, California Institute of Technology

'A wonderful tour of quantum field theory from the modern perspective, filled with insights on both the conceptual underpinnings and the concrete, elegant calculational tools of the subject.' Nima Arkani-Hamed, Institute for Advanced Study, Princeton

'Schwartz has produced a new and valuable introduction to quantum field theory. He has rethought the whole presentation of the subject, from the introductory and foundational concepts to new developments such as effective field theory descriptions of quark dynamics. Students will enjoy viewing quantum field theory from his perspective.' Michael E. Peskin, SLAC National Accelerator Laboratory, Stanford University

'Schwartz's book grew out of a popular year long course in quantum field theory at Harvard. Designed primarily for graduate students, this course also attracts and inspires a number of undergraduates each year. The book is unique in its combination of breadth, depth and readability. Schwartz starts at the beginning of the subject and brings us right up to the present. That the book is neither superficial nor impossibly dense is rather remarkable and makes it easy to understand the course's success.' Howard Georgi, Harvard University

'In this book, Schwartz gives a thoughtful and modern treatment of many classical and contemporary topics. Students and experienced researchers will find much here of value.' Edward Witten, Institute for Advanced Study, Princeton

Über das Produkt

Providing a modern introduction to quantum field theory, this comprehensive textbook develops the Standard Model of particle physics and explains state-of-the-art techniques for performing precision theoretical calculations. Intuitive physical discussions of abstract concepts make the subject accessible to students with a variety of backgrounds and interests.

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Amazon.com: 4.8 von 5 Sternen  9 Rezensionen
46 von 47 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen The new standard 25. Januar 2014
Von A. Lupsasca - Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe|Verifizierter Kauf
Short version: overall, this is the best QFT textbook available right now. It succeeds in covering a lot of ground without sacrificing accessibility. It is up to date and has some great exercises. It is also rare in that many derivations are worked out explicitly. If you are (relatively) new to the subject and want to start learning QFT, this book is probably your best bet.

Longer version:

About the author: Matt Schwartz is a professor at Harvard, where he has taught a very popular introductory QFT course several times over the last few years. The first half of the book (Parts I through III) arose from lecture notes that he prepared for the class, and whose contents have therefore been thoroughly student-tested (full disclosure: I was one of the students who pored over every equation in those notes). The result is the most pedagogical introduction to QFT to date. With the new material in Parts IV and V, it presents all the topics covered in an intensive year-long course.

The exercises at the end of every chapter have also been student-tested and are for the most part very illuminating: you’ll be asked to perform illustrative calculations (the bread and butter of the subject), to explicitly derive relations from the chapter (to test your understanding) or to get some extra practice by expounding on some side topic. Either way, these exercises are a valuable resource and provide additional insight into the material (though beware: in the later chapters, some problems can be fiendishly difficult). Remember: as with any advanced subject, it is crucial that you work through some of the details on your own!

The strength of the presentation lies in the author’s style: Matt Schwartz is not afraid to walk you through derivations step by step and point out common misunderstandings. As a result the book often adopts a chatty style, more akin to a teacher talking to his students than to a dry and terse summary. At 900 pages, it is therefore longer than its competition, but for beginners I see this as a feature rather than a bug!

Some other great features: the book does not assume much in the way of prerequisites (aside from quantum mechanics and special relativity) and even includes a chapter on classical field theory. The explanation of Feynman diagrams is really clear and many examples are provided (the diagrams are numerous and beautifully typeset). The author introduces QED gradually by working his way through scalar QED first, which allows him to focus on some important points without the complications of spinors. Below are some comparisons to similar books out there:

- Peskin & Schroder: the standard QFT textbook (up to now!). The chapters are quite uneven in quality: though some are excellently written (e.g. the discussion on non-abelian gauge theory), others are quite obscure. The going is especially rough in the beginning: for instance, I remember trying to understand the discussion of LSZ in P&S and being completely lost before turning to Matt Schwartz’s much clearer explanation.

Some discussions in P&S have also become somewhat dated, while Schwartz’ book is completely up to date. It even includes a chapter on the spinor helicity formalism, the framework in which the recent work on scattering amplitudes is couched!

- A. Zee's QFT in a Nutshell: this is another favorite of mine, and a great read once you've learned the basics of the subject and are looking for a different viewpoint. It’s also useful for beginners who want to get to know the lay of the land. While this book offers good insights into the subject, it only works through a single computation in detail! A good companion to Schwartz’s book, then, but not a viable alternative.

- Tom Banks’s book: a very concise overview of the subject, but definitely inaccessible to beginners. Banks uses the Schwinger-Dyson equation from the start, but never really explains it. Head over to Chapter 14 of Matt Schwartz’s book to learn about it before even thinking about attacking Banks.

- Mark Srednicki’s book: this book starts at a higher level of abstraction and is great for a second look at QFT. Schwartz’s book is definitely better suited to the novice, however, as it offers a gentler introduction and is more hands on in its approach.

- Weinberg's 3 volumes: notoriously difficult to learn from, but still *the* reference for certain topics. Volume 1, in particular, does the best job of explaining the structure of QFT and why most of it was inevitable. Again, not the place to learn how to compute from, but a pleasure to read after having absorbed Schwartz’s treatment.

In summary, there are now quite a few QFT books available on the market, each with their own niche. Matt Schwartz’ book offers the best compromise in terms of accessibility vs completeness, and should therefore have the widest appeal.
11 von 12 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen Best QFT Text Available 7. April 2014
Von S. Akula - Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe
If you want to learn QFT, this is the best book you can find. QFT was formulated over several decades, beginning in the late '20s, and has led to the most elaborate understanding of nature at a fundamental level, but it is notoriously difficult to learn. This of course has to do with the mathematics involved, and that cannot be avoided. The challenge to physics students though, is building the intuitive understanding of QFT. And, in this regard, Schwartz's text is the best--the very first chapter on Dirac's Microscopic Theory of Radiation should demonstrate this to you, and the ensuing chapters continue to build on both how and why QFT was formulated. Zee's text would be a close second in the same respect, but it fails to provide enough technical detail. The level of detail in the calculations and the explanatory text around it are invaluable to the QFT beginner, and thus this text is highly recommended.
7 von 8 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen Modern, intuitive, and enjoyable 9. Juni 2014
Von Pooya Jannaty - Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe|Verifizierter Kauf
I was always interested in learning QFT but none of the available books (P&S, Srednicki, Zee's Nutshell) could offer me a clear understanding of the logic and reasoning behind QFT's esoteric formalism. That all changed after taking on Matthew Schwartz's book. There is so much to tell about this marvelous book, therefore I have thematically split my review into 5 sections below.

Style of presentation: This is by far the most *congenial* (not for a lack of adjective) physics book I have taken on so far! The book adopts a refreshingly friendly and colloquial writing style (much like a tutor), calling out the big picture and stressing the important points in every discussion. It not only explains how the theory should work, but also how it should not, by pointing out the possible naive interpretations that a novice might make; Along the same line, the author keeps comparing the new topics with previous ones, in a non-repetitive way, each time shedding more light from a different angle, which helps bolster the core ideas in the reader's mind without overwhelming him/her, allowing the reader to make some profound conceptual connections.

Intuition and depth: This is the most intuitive QFT book I have seen. Ideas that previously were merely mathematical equations became commonsense after being exposed to this book. Matthew Schwartz transcends the math beyond what is offered by the classic references in the field by adding his well-worded intuition, targeted at a graduate student. Just as a few examples from the first quarter of the book, the meanings of the commutation relations between the fields and their derivatives are beautifully tied to causality, the LSZ formula is demystified by making it responsible for generating the initial and final states, the essence of QFT interactions is concisely (and yet fully) presented (in only a few pages) through the Lagrangian derivation of the Feynman rules, prior to presenting the messier, yet more systematic Hamiltonian formulation, the guage-invariance and Ward identity are discussed in great depth through various illustrative examples, the discussion of various representations of the Lorentz and Poincare groups are quite unique, thanks to providing topological pictures and realistic numerical examples after building the math machinery, etc.

Breadth: The multitude of topics covered is extensive, ranging from QFT and QED, to a complete treatment of the Standard Model, QCD and advanced topics such as background fields, heavy-quark physics, jets and effective theory. Moreover, each idea is presented/formulated through various approaches/methods, e.g. Feynman rules are derived in space mode and momentum mode using both Lagrangian and Hamiltonian approaches.

Level, rigor, and notation: Without a doubt, this book (and frankly the whole subject) is intended to be taken up by a physics graduate student, although a talented senior undergraduate should also find the book useful. As for the mathematical rigor, I would describe it as "just enough", for a physics book. As far as notation, the author has been very careful not to confuse the reader by using excessive/abstruse notations; the author uses the modern conventions (first print is in 2014) and all the notations are clarified upon introduction.

Necessary background: In order to really appreciate the book the reader should have a solid background in Quantum mechanics (Lagrangian and Hamiltonian formulations, spin, scattering, etc) and know the basics of Special theory of relativity, Electrodynamics, matrix algebra, multivariable calculus, and Complex integrals.

As a final note, I should mention that the book has its own website, with a newly launched Forum section, where the author graciously answers readers' questions.

Overall I really enjoy reading this book and highly recommend it.
9 von 11 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen This is a great book! 19. März 2014
Von J. Justice - Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe|Verifizierter Kauf
I have about eight books on quantum field theory. Each one has good points, but this one has a depth of insight that makes me rate it 5 stars. Dr. Schwartz has a very pedantic way of wording explanations that gives you a new appreciation of the field. I still like Weinberg's books because they explain why quantum field theory is the way it is. Schwartz's book also does this, but that is not the primary objective. He gives practical advice on many questions. For instance, he has the best explanation for how quantum field theory reduces to quantum mechanics and classical electromagnetic theory. He has simple heuristics to motivate the discussion of renormalization.

Thank you Dr. Schwartz for distilling an enormous field into a textbook.
8 von 10 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen Best quantum field theory book! 1. Mai 2014
Von Yatlo Lay - Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe|Verifizierter Kauf
I really love this book, it is the best quantum field theory (QFT) book I ever had. I especially like the author's discussions of the physical ideas behind those difficult and abstract concepts. For example, the Old-Fashioned Perturbation Theory (OFTP) is discussed in detail from the physical perspective. Through the introduction and the detailed calculation of the retarded propagator and advanced propagator, it presents to the readers a clear picture of OFTP and its major difference, pros and cons compared to the conventional QFT perturbation theory based on Feynman propagator. As far as I know there is no other QFT text available that presents OFTP with such great clarity.

This book is a most updated modern introduction to QFT with illustrations, exercises and examples from recent theoretical and experimental results. For example, in the chapter discussing cross sections and decay rates, an experimental diagram from ATLAS collaboration 2013 at LHC showing the evidence for Higgs boson is used to illustrate the importance of cross section measurement.

The best part of this book in my opinion is that, unlike many other QFT books, there are no esoteric and mysterious claims or statements made in the book, everything is clearly explained. For me, I have really learnt a lot of the stuff that I was unable to understand or grasp from other QFT books before. I just can't wait to complete the book so that I will then have a real full understanding of QFT and the standard model both conceptually and technically.
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