Book Description
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
Customer Reviews:
Probably the best book on CFT.......2006-10-27
I have come across some books and lecture notes on CFT, but this book truly is great - almost all notes are based on this book. It presents elementary CFT at an understand pace and progresses slowly towards the end to the more advanced topics in 2D string theory and statistical physics.
The book is pleasant to read and the derivations are done well. Some minor errors and typos are forgiven, because the rest of the book makes well up for them. Numerous examples are given in each section and there are many problems at the end of each chapter. Unfortunately, there are no detailed solutions available, as far as I know.
Some prior knowledge of QFT might be useful, but the basics (Lagrangian formalism, Wick's theorem, Noether's theorem and conserved currents, etc.) are provided in the first chapters. This book is highly recommended for those interested in CFT and its application to string theory (and statistical physics), and I even dare to say it is a MUST!
This is a great book for beginners to learn CFT........1999-09-03
This book is really well done. It introduce the theory of conformal fields in a really pedagogical way so that any person not familiar at all with the subject can enjoy it. The review of quantum field theory and statistical mechanics at the begining is excellent and it is of great help if you haven't work with these subjects recently. The book is also filled with many basic applications that make the theory closer to real life.
Congratulations for this nice book!
A definite "must have" for those interested in CFT........1999-08-31
This book is a fine contribution to the literature on conformal field theory and will no doubt become one of the standard references on the subject. It is well worth the price as it gives a comprehensive introduction to the subject. Chapter 5 is a good discussion of local conformal invariance and clears up some of my own misunderstandings of this invariance. The later chapters discuss affine Lie algebras and algebraic considerations in detail.
Very complete, the reference in the field.......1999-04-27
Probably the best book to introduce you to conformal field theory. It starts from basics and go up to coset constrcutions, WZW models. More than a textbook, it is a necessary reference!
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Probability and Statistics in Experimental Physics (Undergraduate Texts in Contemporary Physics)
Byron P. Roe
Manufacturer: Springer
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Data Reduction and Error Analysis for the Physical Sciences
ASIN: 0387951636 |
Book Description
Intended for advanced undergraduates and graduate students, this book is a practical guide to the use of probability and statistics in experimental physics. The emphasis is on applications and understanding, on theorems and techniques actually used in research. The text is not a comprehensive text in probability and statistics; proofs are sometimes omitted if they do not contribute to intuition in understanding the theorem. The problems, some with worked solutions, introduce the student to the use of computers; occasional reference is made to routines available in the CERN library, but other systems, such as Maple, can also be used. Topics covered include: basic concepts; definitions; some simple results independent of specific distributions; discrete distributions; the normal and other continuous distributions; generating and characteristic functions; the Monte Carlo method and computer simulations; multi-dimensional distributions; the central limit theorem; inverse probability and confidence belts; estimation methods; curve fitting and likelihood ratios; interpolating functions; fitting data with constraints; robust estimation methods. This second edition introduces a new method for dealing with small samples, such as may arise in search experiments, when the data are of low probability. It also includes a new chapter on queuing problems (including a simple, but useful buffer length example). In addition new sections discuss over- and under-coverage using confidence belts, the extended maximum-likelihood method, the use of confidence belts for discrete distributions, estimation of correlation coefficients, and the effective variance method for fitting y = f(x) when both x and y have measurement errors. A complete Solutions Manual is available.
Book Description
This volume is the second edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the Brownian motion in a potential, with emphasis on modern applications in the natural sciences, electrical engineering and so on. It has been substantially enlarged to cover in a succinct manner a number of new topics, such as anomalous diffusion, continuous time random walks, stochastic resonance etc, which are of major current interest in view of the large number of disparate physical systems exhibiting these phenomena. The book has been written in such a way that all the material should be accessible to an advanced undergraduate or beginning graduate student. It draws together, in a coherent fashion, a variety of results which have hitherto been available only in the form of research papers or scattered review articles.
Book Description
This book explores the process of modeling complex systems in the widest sense of that term, drawing on examples from such diverse fields as ecology, epidemiology, sociology, seismology, as well as economics. It also provides the mathematical tools for studying the dynamics of these systems. Boccara takes a carefully inductive approach in defining what it means for a system to be "complex" (and at the same time addresses the equally elusive concept of emergent properties). This is the first text on the subject to draw comprehensive conclusions from such a wide range of analogous phenomena.
Customer Reviews:
A very good intructory book.......2007-04-02
This book encloses a large variety of models in an introductory level and opens the possibility to the students to go deep in specific topics through its references. So, it is adequate for a regular course on complex systems. The mean-field part of book provides a concise, clear and complete presentation of dynamical systems. In my opinion, the agent-based chapters is well presented, but do not cover satisfactorily the criticality of epidemic spreading, a central point in complex system modeling.
A good comprehensive presentation of the state of the art.......2004-11-27
This is a fine book to learn the state of the art in 2004 in the field of complex systems modeling. It has the right blend of useful illustrations from many types of applications and of clean mathematics, without overdoing it in terms of abstraction. It is expensive but I don't regret my purchase.
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Methods of Contemporary Gauge Theory (Cambridge Monographs on Mathematical Physics)
Yuri Makeenko
Manufacturer: Cambridge University Press
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ASIN: 0521022150 |
Book Description
This book provides a thorough introduction to quantum theory of gauge fields. Emphasis is placed on four non-perturbative methods: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models, which have important contemporary applications. The book uses a novel approach to gauge theories based on path-dependent phase factors known as the Wilson loops, and provides comprehensive coverage of large-N Yang-Mills theory.
Download Description
This book introduces the quantum theory of gauge fields. Emphasis is placed on four non-perturbative methods: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models, all of which have important contemporary applications. Written as a textbook, it assumes a knowledge of quantum mechanics and elements of perturbation theory, while many relevant concepts are pedagogically introduced at a basic level in the first half of the book. The second half comprehensively covers large-N Yang-Mills theory. The book uses a modern approach to gauge theories based on path-dependent phase factors known as the Wilson loops, and contains problems with detailed solutions to aid understanding. Suitable for advanced graduate courses in quantum field theory, the book will also be of interest to researchers in high energy theory and condensed matter physics as a survey of recent developments in gauge theory.
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Algebraic Approaches to Nuclear Structure: Interacting Boson and Fermion Models (Contemporary Concepts in Physics, Vol 6)
A. Castenholz
Manufacturer: CRC
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ASIN: 3718605384 |
Average customer rating:
- Solid and very useful, but be careful
- Good introduction to spinors & related group theory
- Have Your Pen Ready
- An Excellent Introduction To Groups and Advanced Q.M.
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Spinors in Physics (Graduate Texts in Contemporary Physics)
Jean Hladik
Manufacturer: Springer
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ASIN: 0387986472 |
Book Description
Invented by Dirac in creating his relativistic quantum theory of the electron, spinors are important in quantum theory, relativity, nuclear physics, atomic and molecular physics, and condensed matter physics. Essentially, they are the mathematical entities that correspond to electrons in the same way that ordinary wave functions correspond to classical particles (including photons). Because of their relations to the rotation group SO(n) and the unitary group SU(n), the discussion should be of interest to applied mathematicians as well as physicists.
Customer Reviews:
Solid and very useful, but be careful.......2006-01-12
Yes, it's true: this book does have a ton of typos in it, so it might be best to find an online errata listing or something when you purchase it.
However, the book, despite a bit of a wobbly start, will definitely teach you most everything you need to know about spinors. The best things about it are that it ties the material to physics very strongly and often, and it has solutions immediately following the exercises! Also, everything is explained in a very precise and explicit manner.
Good introduction to spinors & related group theory.......2001-05-19
I've browsed through a number of books looking for a good, approachable, understandable, etc. introduction to spinors and their use in physics. This book is it. It does have an unfortunately large number of misprints/typos, but if you actually READ the material, make an attempt to understand it, and work out the examples and derivations of equations in the text, then you know where the mistakes are. I have an errata sheet a mile long that I intend to send to the publisher!
The book also covers, in a very understandable way, some introductory material on Lie groups and Lie algebras.
I would have given 5 stars but for the large number of typos. Still, I would highly recommend this book for anyone interested in the use of spinors in physics.
The contents are:
I Spinors in Three-Dimensional Space 1. Two-Component Spinor Geometry 2. Spinors and SU(2) Group Representations 3. Spinor Representation of SO(3) 4. Pauli Spinors
II Spinors in Four-Dimensional Space 5. The Lorentz Group 6. Representations of the Lorentz Group 7. Dirac Spinors 8. Clifford and Lie Algebras
Appendix: Groups and Their Representations
Have Your Pen Ready.......2001-05-08
Simply horrible. This book is littered with mistakes. I had bought this hoping to have a more or less complete reference to spinor theory. Instead I now have a book that is more confusing than helpful. If you do not have a good, even if basic, background in spinors do not buy this. Luckily I did and could see this was a poorly done book. I would suggest using Lounesto instead.
An Excellent Introduction To Groups and Advanced Q.M........2000-01-16
This book is divided into two parts. The first part introduces spinors in 3D and the second in space-time. It is very readable and includes detailed solutions to many problems with an appendix including essential group theory. I strongly recommend this book to be used along with relativistic quantum mechanics and quantum fields.
Average customer rating:
- Wonderful for a calculational refresher/reference
- Motivates learning and makes advanced material seem easy
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Topics in Contemporary Mathematical Physics
K. S. Lam
Manufacturer: World Scientific Publishing Company
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Lie Groups, Lie Algebras, and Some of Their Applications
ASIN: 9812384545 |
Book Description
This textbook, pitched at the advanced-undergraduate to beginning-graduate level, focuses on mathematical topics of relevance in contemporary physics that are not usually covered in texts at the same level. Its main purpose is to help students appreciate and take advantage of the modern trend of very productive symbiosis between physics and mathematics. Three major areas are covered: (1) linear operators; (2) group representations and Lie algebra representations; (3) topology and differential geometry. The following are noteworthy features of this book: the style of exposition is a fusion of those common in the standard physics and mathematics literatures; the level of exposition varies from quite elementary to moderately advanced, so that the book is of interest to a wide audience; despite the diversity of the topics covered, there is a strong degree of thematic unity; much care is devoted to detailed cross-referencing so that, from any part of the book, the reader can trace easily where specific concepts or techniques are introduced.
Customer Reviews:
Wonderful for a calculational refresher/reference.......2006-09-08
(NB. I would give Lam's book 4.5 stars if I could, as there are some minor issues.)
First of all, I bought this book *despite* its being published by World Scientific, a publisher that I consider to have a rather dodgy catalogue. And this book is a pleasant surprise. Having finished a detailed read of it, I expect that I will use it before Nakahara when the rubber has to hit the road.
I bought the book in order to have a single primary calculational reference on the topics it surveys, and worked through the exercises as a refresher and to deal with notation. When I first bought the book, I was incredulous about the author's claim that he used the material in a year-long course for undergraduates, but after working through all but five or so exercises in the last 25 chapters, I find that the vast majority of the exercises can be performed in the book's margins (perhaps by sometimes writing a bit small and using a calculator for numerical matrix manipulations).
That said, they are at a nice level for acquiring basic facility; the emphasis is on calculation, not abstraction and deep understanding. Any exercises the reader has not done elsewhere should be done as they are encountered, and the book needs to be supplemented: either by good lectures or (for the autodidact) more advanced supplements (I would suggest Fulton and Harris for representation theory, and Nakahara for geometry) to provide better insight and foster intuition. Proofs requiring a high degree of abstraction are omitted, which is good for a calculational reference but often leaves motivation and structure more obscure than a Springer "GTM" on the same subject would.
Broadly speaking, one can see the text as comprised from three segments: chapters 1-17, on "the stuff that nearly all practicing physicists will have seen at some point" (though perhaps in different modes of presentation); chapters 18-28, on representation theory; and the remaining chapters, on geometry (with a smattering of topology). The middle section is probably the most demanding, excepting possibly chapters 41-43, which cover characteristic classes and the index theorem. For this there can be no remedy: the subject matter is hard. But Lam makes a gallant effort, including what he can and omitting what he must to keep the book at its level.
Most seniors will be overmatched by its later parts. Though the exercises are generally easy (occasionally some minor subtlety [or an appeal to other sources] is required), the concepts are among the deepest and subtlest mathematics that most physicists (or non-PhD mathematicians) will ever encounter, and Lam is not the place to gain a complete understanding of any of them. On the other hand, the emphasis on calculations, actual coordinates, and (best of all) connections with useful physics make the book very nearly ideal for a student or practitioner who wants to see the rubber hit the road and is prepared to supplement the text.
There are a few misprints, but not many (I have compiled a list of errata and can be reached at schuntsm AT nps DOT edu), and the author's style ensures that most mistakes will be obvious during a careful read. The level of rigor is just right for the intended audience, and the exercises are well-positioned: the book can be read without them, but they are not onerous and can serve to (re)familiarize the reader with the details.
For my stated purposes, I cannot think of a better book. It is concrete and accessible, and includes practical examples from physics. The reader need not be involved with strings to find some benefit from this book.
(I wish there was a complementary book dealing with differential equations, numerical techniques/algorithms and stochastic processes in the same style!)
All in all, this is a wonderful book, well worth the price for the paperback. Don't buy the hardback--just apply some good tape to the covers: they may see a lot of use.
Motivates learning and makes advanced material seem easy.......2006-08-19
Though I have yet to finish the book, I am incredibly pleased with it so far. There's no such thing as a perfect book; Lam succeeds by giving us a book that is a good balance between some extremely detailed books for the patient (e.g. Frankel's "Geometry of Physics") and other books that are good, but often move too quickly for first-timers (e.g. Nakahara).
The book does assume that readers are comfortable with a theorem-proof style (though it is extremely casual here) and it assumes a strong linear algebra/abstract vector space background, but those who qualify will find themselves quickly learning about some rather advanced subjects (Lie algebra theory).
Finally, Lam makes sure to interject chapters that illustrate some applications of the math covered up to that point in the book. Chapters like these will keep physics students (like me) plugged in to the book.
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Contemporary Accelerator Physics
Stephan I. Tzenov
Manufacturer: World Scientific Publishing Company
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ASIN: 9812389008 |
Book Description
This book adopts a non-traditional approach to accelerator theory. The exposition starts with the synchro-betatron formalism and continues with the linear and nonlinear theories of transverse betatron motion. Various methods of studying nonlinear dynamical systems (the canonical theory of perturbations and the methods of multiple scales and formal series) are explained through examples. The renormalization group approach to studying nonlinear (continuous and discrete) dynamical systems as applied to accelerators and storage rings is used throughout the book. The statistical description of charged particle beams (the Balescu-Lenard and Landau kinetic equations as well as the Vlasov equation) is dealt with in the second part of the book. The processes of pattern formation and formation of coherent structures (solitons) are also described.
Average customer rating:
- Geometry, Particles, and Fields
- Clear and pedagogical about modern theoretical physcis
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Geometry, Particles, and Fields (Graduate Texts in Contemporary Physics)
Bjoern Felsager
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Field Theory : A Modern Primer (Frontiers in Physics Series, Vol 74)
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Quantum Field Theory
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Quantum Field Theory
ASIN: 0387982671 |
Book Description
"The present volume is a welcome edition to the growing number of books that develop geometrical language and use it to describe new developments in particle physics ... It provides clear treatment that is accessible to graduate students with a knowledge of advanced calculus and of classical physics.... The second half of the book deals with the principles of differential geometry and its applications, with a mathematical machinery of very wide range. Here clear line drawings and illustrations supplement the multitude of mathematical definitions. This section, in its clarity and pedagogy, is reminiscent of Gravitation by Charles Misner, Kip Thorne and John Wheeler.... Felsager gives a very clear presentation of the use of geometric methods in particle physics.... For those who have resisted learning this new language, his book provides a very good introduction as well as physical motivation. The inclusion of numerous exercises, worked out, renders the book useful for independent study also. I hope this book will be followed by others from authors with equal flair to provide a readable excursion into the next step." -Physics Today Topics covered include: - Basic Properties of Particles and Fields - Electromagnetism; - Interaction of Fields and Particles - Dynamics of Classical Fields - Solitons - Path Integrals and Instantons - Basic Principles and Applications of Differential Geometry - Differentiable Manifolds and Tensor Analysis - Differential Forms and the Exterior Algebra - Integral Calculus on Manifolds - Dirac Monopoles - Smooth Maps and Winding Numbers - Symmetries and Conservation Laws
Customer Reviews:
Geometry, Particles, and Fields.......2002-03-31
This text is extremely clear and direct. It offers a simple and expedient introduction to advanced topics with little prerequisites. Anyone with rudimentary knowledge of classical and quauntum mechanics can follow the author's presentation with great easy. The organization of the text is completely appropriate and the exercises are totally relevant. The only advisement is to constantly remind oneself that the text is only on the topic of classical fields to the exclusion of any sections explicitly on quantum theory.
Clear and pedagogical about modern theoretical physcis.......1998-08-27
This book was originally published in Denmark in a typewritten form. I gives a very clear treatment of many aspects of modern theoretical physics on the advanced undergraduate or graduate level. Electromagnetism, gauge theories, path-integrals, differential geometry, and other central topics are treated with a minimum of unnecessary abstraction and a lot of examples and applications.
Books:
- Cosmic Rays and Particle Physics
- Data Analysis: A Bayesian Tutorial
- Differential Equations, Dynamical Systems, and an Introduction to Chaos (Pure and Applied Mathematics (Academic Press), 60.)
- Einstein: His Life and Universe
- Einstein: His Life and Universe
- Electrodynamics and Classical Theory of Fields and Particles
- Electronic Transport in Mesoscopic Systems (Cambridge Studies in Semiconductor Physics and Microelectronic Engineering)
- Factory Physics Second Edition
- Foundations of Image Science
- From SU(3) to Gravity: Festschrift in Honor of Yuval Ne'eman (3 to Gravity : Papers in Honor of Yuval Ne'eman)
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