Gauge Theory of elementary particle physics 1st Edition by Ta-Pei Cheng (PDF)

Description

This is a practical introduction to the principal ideas in gauge theory and their applications to elementary particle physics. It explains technique and methodology with simple exposition backed up by many illustrative examples. Derivations, some of well known results, are presented in sufficient detail to make the text accessible to readers entering the field for the first time. The book focuses on the strong interaction theory of quantum chromodynamics and the electroweak interaction theory of Glashow, Weinberg, and Salam, as well as the grand unification theory, exemplified by the simplest SU(5) model. Not intended as an exhaustive survey, the book nevertheless provides the general background necessary for a serious student who wishes to specialize in the field of elementary particle theory. Physicists with an interest in general aspects of gauge theory will also find the book highly useful.

User’s Reviews

Editorial Reviews: Review `The reader will find a concise review of diagrammatic pertubation theory, path-integral quantization, group theory, and renormalization theory. The more advanced concepts – gauge symmetry, chiral symmetry breaking, the Higgs mechanism, asymptotic freedom and the renormalization group – are treated in greater detail. The exposition of these subjects is judiciously combined with applications to the standard theory in a way that brings life to what otherwise might be dull formalism. […] it will remain, for a long time to come, an excellent introduction to the comprehensive gauge theory of the electroweak and strong interactions.’ David Goss, Physics Today From the Back Cover This book provides students and researchers with a practical introduction to some of the principal ideas in gauge theories and their applications to elementary particle physics. About the Author Ta-Pei Cheng is at University of Missouri, St Louis. Ling-Fong Li is at Carnegie Mellon University. Read more

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

⭐This book is for graduate students who already have a background information on the quantum field theory (QFT). In other words, this book is written for those graduate students familiar with QFT. It provides basic concepts in particle physics using the tools in QFT. I recommend this book highly for those who are willing to major in particle physics and its phenomenological application. The demerits of the book are that it contains a number of typos and sometimes gives a wrong concept on some of the issues. The merits of the book are that it provides an extensive list of references, through which the beginning graduate students might learn a lot.

⭐If you are looking for derivations, this is not the book. However, the authors magnificently have laid out the fundamental concepts of QFT in a consistently logically step by step approach with a sense of inevitability. If you are already familiar with Renormalization and Gauge theory, you will enjoy this book.

⭐This book was “recommended” for an elective course in particle physics for PhD students at OSU. Having little to no experience in the field (besides simple modern physics topics like bubble chamber examples and time-dilated lifetimes of particles, etc.) I was hoping that I would get a better introduction. The book offers no such thing. It jumps right in with “Basics in Field Quantization” (which is hardly comprehensive) and then blows through everything in high gear. Considering that most students in physics haven’t seen particle physics in their core sequence of coursework, I would not recommend this book for a course in particle physics unless the requisites for the course explicitly state that the student should have experience with field theory and an understanding of group theory. This is definitely a poor source for a student who is seeing the subject for the first time. For those who are more experienced in particle physics, I would expect that this book is a good reference, though I cannot say that for sure because I am not a member of such a group.I also purchased the book of solutions to problems in this book. It sheds some light on the topic, but not much. Nonetheless, I won’t sell this book because sometime down the road I might find it and its companion to be useful.

⭐Physicist David Gross writes : “the bulk of the text will remain, for a long time to come, an excellent introduction to the comprehensive gauge theory of the weak and strong interactions…advanced graduate students will find this book very useful and instructive.” (Physics Today, December 1985) Rather than compare this book with more modern tomes, best to review the text within the context of its time, 1984. Thus, one can overlook this amusing line: “Clearly, even if one does not believe in the physical reality of quarks, they are a useful mnemonic device for the less familiar group of SU(3) ” (page 117). One can also overlook that the terminology ‘effective field theory’ is couched as ‘effective potential’ (pages 82-85). The physics is unaltered: “The attractive feature is the behavior of effective theory at the fixed point is relatively insensitive to details of the theory at ordinary length scales…” An attractive feature of this textbook is its nonlinear structure, as the authors expect you to pick and choose where your interests lie, then proceed accordingly: “There is no need (it is in fact unproductive !) for the reader to strictly follow the order of our presentation.” (preface). In fact, this is quite the manner in which I have approached this text. I enjoy the nonlinear structure.(1) A quick review of canonical quantization segues to path integration. If unable to derive equation #1.49, proceed no further ! (page 13) Likewise, Equation #1.84 (page 19), If that result is “difficult to see,” something is amiss ! Grassmann Algebra is summarized (pages 23-29). This concludes chapter one. If equation #1.127 (page 27) is not trivial in execution, then there is no need to proceed further until rudiments are firmly in hand.(2) Chapter two, of Renormalization: “to explain the principal ideas and give examples.” Section #2.3, regularization schemes, is computationally explicit. Differentiation of integrals (equation #2.10, page 33) and Feynman’s parameters (page 46), plus the evaluation of integrals (polar coordinates,beta functions, Wick rotation) is as explicit as one can expect from a graduate-level introduction (pages 46-56). Chapter three, a continuation of sorts: introductory account of renormalization group. Here will be an outline of Gerard Hooft’s “subtraction scheme” (pages 78-81).(3) Fourth chapter is an excellent survey of group theory. Concluding with the quark model, it is amusing to read of five (flavors) types (u,d,s,c,b), as this preceded the “top/truth” Quark. Still, an exceptional exposition. But we read: “…the experimental data do not contradict the expectation that there exists an even heavier t-quark.” (page 356).(4) The so-called current algebra is described in a most appealing manner (fifth chapter). It is prelude to discussion of spontaneous symmetry breaking (ferromagnetism as example) and Goldstone bosons. Patterned after Coleman and Weinberg, we read of effective actions (page 189), a pleasant discussion.(5) Parton model, “the subnucleon version of the familiar impulse approximation of high-energy scattering of composite particles with weakly bound constituents,” concludes part one of the textbook. Part one was part review, part survey, and mostly computational. Many intermediate steps in the derivations included (page 220, 7.127 to 7.128, as example). the reader should be able to follow the simpler steps (that is: matrix multiplications, partial derivatives, complete-the-square, Jacobians, integrals). Part Two: Here is where the fun begins.(6) Gauge Symmetries, chapter eight. Follow along as you derive the QED Lagrangian (page 230). Highlighting: beautiful discussion of gauge invariance and geometry (pages 235-240).(7) Chapter Nine: Quantum Gauge Theories. Path integrals, again. Recall the words of ‘t Hooft and Veltman,1973: “The development of gauge theories owes much to path integrals.” A discussion of Faddeev-Popov prescription (pages 250-254). Utilization of a useful equation: det M=exp(Tr(InM)). Three chapters (10,11,12) cover quantum chromodynamics and electroweak theory supplying wealth of detail. Regards Chromodynamics: “the basic structure of this theory is a somewhat simpler introduction to the subject of Yang-Mills theory…” (page 279). Lattice gauge theory and confinement are well done (pages 322-335). Exceptional discussion of Neutrino masses, mixing, oscillations. We read: “The magic of the oscillation phenomenon is of course intimately related to quantum mechanical measurement theory.” (pages 409-420).(8) A brief, semi-quantitative, chapter fifteen discusses magnetic monopoles. An appealing chapter on instantons. Thoughtful discussions, all. Chapter fourteen, grand unification: SU(5) elaborated upon in thoughtful manner. (For an update, Grand Unified Theories and Proton Decay, 2009 Ed Kearns, Boston University). Chapter twelve presented data on W and Z masses: 78.5 and 89.3 Gev, respectively. Latest values, W and Z masses: 80.385 and 91.187 Gev.How rewarding it is to compare those numbers to the earlier values !(9) Those are only a few highlights of this useful text. Obviously, the text needs a bit of updating, which one finds in the Problems and Solutions manual (which I am now beginning to unravel). With the proper preparation, this is a nice supplement to a course in gauge theory, one whose primary objective centers around elementary particle physics. There are simpler introductions (Aitchison and Hey, or Guidry) and more advanced monographs (Pokorski,1987).However, this textbook fills a niche between those two extremes.Quantum Field Theory, by Mandl and Shaw, provides preliminary background (1993 revised edition).Cheng and Li can be heartily recommended to the advanced student.

⭐The book is written at a medium to advanced Physics level. Not an easy book for those who study the subject for the first time. Excellent for more advanced readers. Can also be used as e reference book.

⭐The book presents the basics of the particle physics. I don’t like the first of the book: field theory part is bad. But the rest of the book is very well written. It was very help for me to understand particle physics.

⭐since field theory is not setisfectory in any sense the book seems to present it not as ugly.

⭐Very badly and sloppily written! Hard to understand.

⭐This is one of the most comprehensive book on theoretical particle physics. It assumes that you know basic QFT, although that is reviewed in the initial chapters. I particularly enjoyed reading this book. It contains all the important topics and develops the theory from scratch after discussing all pre-requisite concepts.The notations are a little cumbersome and old-styled. Algebra is skipped in many places, so you have to get your hands dirty in calculations.

⭐If u have good knowledge of re normalization then it will be helpful to further study of gauge theory in detail.

⭐Das Buch spannt schnell den Bogen von den einfachen Thmen zu komplexeren und moderneren Teilgebieten der Theorie und kann zur Vertiefung des Fachgebiets verwendet werden.

⭐Not found.

⭐It’s excellent.. Presented with impeccable details

⭐a good copy

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