Field Quantization 1st Edition by Walter Greiner (PDF)

Description

Theoretical physics has become a many-faceted science. For the young stu­ dent it is difficult enough to cope with the overwhelming amount of new scientific material that has to be learned, let alone obtain an overview of the entire field, which ranges from mechanics through electrodynamics, quantum mechanics, field theory, nuclear and heavy-ion science, statistical mechanics, thermodynamics, and solid-state theory to elementary-particle physics. And this knowledge should be acquired in just 8-10 semesters, during which, in addition, a Diploma or Master’s thesis has to be worked on or examinations prepared for. All this can be achieved only if the university teachers help to introduce the student to the new disciplines as early on as possible, in order to create interest and excitement that in turn set free essential new energy. At the Johann Wolfgang Goethe University in Frankfurt we therefore con­ front the student with theoretical physics immediately, in the first semester. Theoretical Mechanics I and II, Electrodynamics, and Quantum Mechanics I – An Introduction are the basic courses during the first two years. These lectures are supplemented with many mathematical explanations and much support material. After the fourth semester of studies, graduate work begins, and Quantum Mechanics II – Symmetries, Statistical Mechanics and Ther­ modynamics, Relativistic Quantum Mechanics, Quantum Electrodynamics, the Gauge Theory of Weak Interactions, and Quantum Chromo dynamics are obligatory.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐My E&M professor tried recently a very ambitious project: teaching QED as part of graduate-level electrodynamics. So first semester we ran through Jackson, and second semester we marathon-sprinted through this text, getting as far as Feynman diagrams. This book might be slightly too advanced for first-years, but not much so. It is written as an introductory text, to prepare graduate students for the more advanced treatment of QED in the authors’ later book.

⭐The text is organized very well. The main subject matter is quantum field theory, but this subject is developed through physical examples; uniformly weighted HO chain, Schrodinger wave function, Klein-Gordon field, Dirac field, Mawell field, and then on in to second-quantizations of these. It’s a sort of step-by-step process that builds a great basis in the mechanics of field theory with increasingly more complicated examples. It’s a great structure.However, the math is really sloppy. I don’t really expect pure mathematical rigor from a physics book (no one should), but the book uses ideas that aren’t well-defined; e.g. A functional derivative of a functional of a functional. That is, dF[G[f(x)]]/df(x). Some of the math isn’t very well-motivated, either. Maybe it’s just the nature of quantum field theory, but a lot of the explanations seem really magical; we do this because it makes the answers work, and that’s that. There’s a lot of ordering conventions (at least two) that are supposed to make “explicit” infinities disappear (which they’re still there) and the only motivation for them is to avoid infinities. At some point, it becomes more a kind of hieroglyphics with a particular grammar, as opposed to a field of mathematics. Again, that may be the nature of QED, but the lack of mathematical rigor or meaning is very apparent from the way math is handled in the book.While the math is sloppy, the physics isn’t. The physical meaning of the equations is the important issue to the authors of the book, afterall, and it is explained very well. The organizational structure helps very much to build up to the advanced subjects of interacting photon and electron fields in a relativistic framework. Reference is made to classical mechanics and to “classical” quantum mechanics, and from there establishes a relativistic picture. It is very straightforward and confusion is minimal.Sometimes, I felt there was a lack of clarification in some things. Only things like skipped steps or poor motivations, or maybe translational ambiguities. Some statements were not as self-evident as they seemed to the authors. This was not enough to obscure the subject, whose results are still clearly presented.The price is another factor to consider. It’s somewhere around ~$20, and delivers a LOT of book for that itsy bitsy price. I felt a deep joy in being assigned a textbook that cost me less than dinner out, and delivered an approachable wealth of knowledge on a very advanced subject. I’d recommend grad students or PhDs interested in field theory buy it. It’s a great way to get your feet on the ground in the subject.Given how low the price, this might seem attractive for self-study or as a supplementary reference work. If you like owning your own reference books, this would be a good one to get. If you’re taking a more advanced course on QED and find yourself stuck, this might bring the subject on a more intuitive level to get you started. As to self-study, I don’t know how useful this would be. There aren’t a lot of problems, which is essential to self-study.Overall, I give the book 4 stars. I can’t entirely blame it for the sloppiness of the math, and it doesn’t pretend to be a math text, but the math is really sloppy. The price, though, more than makes up for poor form in mathematics, especially for those more concerned with the big physical picture and not the formal minutiae.After writing the above review, I read some of the others and noticed they complain about the margins. To be perfectly honest, I never even noticed there was anything fishy about the margins. There’s a lot of space on the outside of the pages, but I assumed that was for notes. I went back and looked at my book, and sure enough the text runs right to where the seams meet. Everything is still legible, and as I said, I used this book a whole semester and never noticed; but if it will bother you, maybe another printing? The text itself, regardless of printing issues, is fantastic, and I didn’t find the printing issues even noticeable.

⭐This book must be of the finest of the series by Walter Grenier, it is a systematic introduction first to many body physics then classical field theory which is usually presented at the end of Analytical mechanics books. The the canonical quantization off The Scalar field, The Dirac Field and the electromagnetic field are presented step by step. Three things that I praise this book for: First, it was the book my teacher used in graduate school to teach us quantization of this three basic fields. Second, the section of the derivation of Wick’s Theorem is marvelous (same used by my teacher at grad school). Third, the Feynman prescription of the way you have to move through the two usual poles of the propagator leaving out the negative pole and taking in the positive one giving rise to the “+ie” in the denominator is very clear. Actually everything I would say is clear on this book so that’s why I give it 5 stars. After the canonical quantization is done a third part of the book treat the Feynman path integral quantization. If you wanna start quantizing fields this book is THE book to use.

⭐Unfortunately, for this particular printing, I cannot disregard the particulars of the ‘physical quality’ of the book. (Normally I consider this to be barely worth a mention.) This is the sole origin of my rating, please appreciate this. The rating refers specifically to ISBN-10: 3540780483.As one other reviewer kindly mentioned, the margins have been screwed up: when you open the book, you can barely (if at all!) read the text next to the inside margin. There’s maybe a quarter of an inch (or so) from the text to the point where the pages are bound together. Once you press the book down, laying it completely flat, it is readable. It does still look rather awkward. I decided on keeping the copy, since it is mostly for reference; if you intend to learn the material from this book, it could be actually too distracting/annoying. (Personal preference: if I intended to spend many hours with this book I would return this copy.) I consider this manner of the publisher, or/and amazon, to be beyond ‘an acceptable variation’ on the quality of print: customers should have been warned. As the other reviewer nicely says, this is why this printing is so much cheaper than the ‘regular’ one. (I did not take their advice seriously enough.)As for the book itself (content), I give it 5 stars without much thinking. If you are a serious student of quantum field theory, this is a most excellent resource. Note that Greiner’s whole set of books is organized very differently from many other, still excellent, books on QFT. A lot of things that are typical in a ‘normal’ QFT book are delegated to other books in Greiner’s series; there are three or four other books that may be relevant to a particular purpose that your study of QFT has. (For example, one of them is in fact Greiner’s third book on Quantum Mechanics: Special Chapters.) This frees him to present in this volume the material that is more strictly related exactly to what the title is: quantization of fields. Other than this aspect, the book bears every mark of his series: lots (and lots) of very good examples, of many kinds, worked out in good detail. It’s a truly good resource. (Please don’t give in to a possible temptation to simply ‘read through’ them. This is not a way to gain command over any material; you want to, and must, *work through* stuff.)In summary: I very readily recommend Greiner’s books, this one included. As for the purchase value, please appreciate that for a full coverage of a subject you may need multiple volumes. But as for this particular printing, consider carefully whether you can put up with a very strange physical layout.As for mine rating the book by its physical appearance: in this case I feel that, unfortunately, I must warn other possible buyers of this very unusual issue. Two stars: this manner of the publisher (or amazon) is unacceptable, and this copy may in fact be unusable for many people; but it is possible to read it. (My friends were appalled; but one of them ‘wouldn’t mind.’)

⭐A great book that you can learn from. Be sure to get a copy.

⭐Non è la versione più costosa e si vede..la qualità non è massima ma di gran lunga accettabile..per uno studente come me sarebbe utilissimo trovare più titoli in versioni meno costose..perché se ogni libro di ogni corso costa 50-100€ non se ne compra nemmeno uno o si ricorre ad altri metodi per consultarli..se ci fosse invece la possibilità di trovarli a 20€ come fa la springer per questo titolo, si aumenterebbe di gran lunga il numero di vendite..dopo questo sfogo devo dire che è un ottimo libro di teoria dei campi, lineare e chiaro..lo consiglio!

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⭐W książce brakuje mi jedynie opisu grupy renormalizacji. Jest on za to w innych książkach, zatem nie może to być jedyna książka z kwantowej teorii pola. Dobrze jest czytać całą serię książek prof. Greinera po kolei. Wtedy odczuwa się smak studiowania.

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⭐Ce livre est un excellent ouvrage qui servira d’introduction aux deux approches fondamentales de la théorie quantique des champs: quantification canonique et intégrales de chemin. La plupart des développements mathématiques sont effectués avec quelque détail, malgré d’inévitables “on peut facilement prouver que…”, qui, fort heureusement et contrairement à d’autres ouvrages, n’occupent ici qu’une place limitée. A noter que certains prérequis sont nécessaires: sur le plan mathématique, quelques notions d’analyse complexe (théorème des résidus et intégrales de contour, bien que la référence à ces théorèmes ne soit pas explicite, elle est le coeur des passages sur les propagateurs), et bien sûr une certaine aisance dans le calcul tensoriel; sur le plan physique, une familarisation préalable avec les théories de champs classiques sont un très sérieux atout, quoique pas forcément essentiel car les principaux résutats sont remis en mémoire (typiquement, les équations de Maxwell sous version tensorielle, y compris les identités remarquables s’y rapportant, et l’equation de Dirac, par exemple). Il y a un chapitre très détaillé sur les théories de champs classiques en général, mais il est bon d’avoir eu un cours préalable avec l’étude spécifique de Maxwell et de Dirac, comme on le fait par exemple dans le cadre d’un cours usuel de mécanique quantique relativiste. A noter que d’autres livres de Walter Greiner se focalisent spécifiquement sur ces sujets.Cela reste malgré tout un livre que certains pourront trouver difficile si on le prend comme première approche de la théorie quantique des champs, mais il est meilleur que la plupart de ceux disponibles sur le marché et il vaut largement la peine d’être étudié. Il ne faut pas être surpris de se retrouver à passer plusieurs heures sur un passage particulier. Parfois , ce ne sont pas les calculs qui sont difficiles à suivre, mais bien les idées qui sont profondes.Il faut garder à l’esprit que la théorie quantique des champs est l’armature, le squelette de la physique moderne. D’une manière ou d’une autre, ses idées se retrouvent dans l’immense majorité des divers domaines de la physique (physique des particules, physique de l’état solide, cosmologie, supersymétrie, théorie des cordes, etc). Donc, tout le temps passé sur ce genre d’ouvrage ne peut être que gagné et c’est un investissement intellectuel de valeur pour le long terme, que l’on soit physicien, étudiant ou simplement curieux cultivé ayant les prérequis nécessaires. Il contient beaucoup d’exemples étudiés en profondeur. Après l’avoir étudié, la lecture d’autres ouvrages de référence dans le domaine en sera considérablement simplifiées.

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⭐Content is of quality, provides insight of the subject and not for any newbie, more than 90℅ mathematical steps explained. Overall great.

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