Book Description
String theory is one of the most exciting and challenging areas of modern theoretical physics. This book guides the reader from the basics of string theory to recent developments. It introduces the basics of perturbative string theory, world-sheet supersymmetry, space-time supersymmetry, conformal field theory and the heterotic string, before describing modern developments, including D-branes, string dualities and M-theory. It then covers string geometry and flux compactifications, applications to cosmology and particle physics, black holes in string theory and M-theory, and the microscopic origin of black-hole entropy. It concludes with Matrix theory, the AdS/CFT duality and its generalizations. This book is ideal for graduate students and researchers in modern string theory, and will make an excellent textbook for a one-year course on string theory. It contains over 120 exercises with solutions, and over 200 homework problems with solutions available on a password protected website for lecturers at www.cambridge.org/9780521860697.
Customer Reviews:
A good general introduction.......2007-04-22
String theory has been criticized since it was first invented but not to the degree that it has now, this criticism mostly focusing on its failure to connect with observation. The criticism has increased dramatically in recent years however, and some of this has been too vituperative to be useful to those curious about string theory as a viable physical theory. But criticism, however harsh, can be healthy, since it motivates the proponents of a theory to more carefully elucidate its foundations and content. This is usually not the case when a theory is popular, as researchers are in a competitive spirit and are hesitant to share the knowledge to possible competitors. At this stage in the game however, string theorists it seems are now on the defensive, and have thus taken the time to discuss in-depth what this reviewer still believes is the most complex and beautiful theory ever constructed in mathematical physics. String theory still has a long way to go before it gains status as being a physical theory, but hopefully by the end of the next few decades one will see the appearance of charts, graphs, and numerical calculations in books on string theory, much like one finds in the most successful of all physical theories to date: relativistic quantum field theory.
Some highlights in the book that are particularly insightful include:
1. The observation that Dirichlet boundary conditions (for the open string) break Poincare invariance, but that this leads to the introduction of Dp-branes as positions of the endpoints of the open string. Poincare invariance is recovered as long as Dp-brane is space filling, i.e. has a dimension one less than the background spacetime.
2. The view that the BRST quantization of the path integral is really a conformal field theory. This is interesting in that BRST analysis is typically thought of as a procedure for quantizing constrained systems (gauge theories being predominant examples).
3. The `Myers effect'. Sometimes referred to as the `D-brane dielectric effect', it is part of an attempt to understand the physics of non-Abelian D-branes for strong fields. One of the challenges in this understanding involves the validity of the Dirac-Born-Infeld action in these kinds of circumstances, which as the authors remark is designed for situations where the background fields and world-volume gauge fields do not vary appreciably over the distances on the order of the string scale.
4. The origin of the (classical) Virasoro algebra as the freedom of choice of gauge in the reparametrization symmetry. And along these same lines, the quantization of the Virasoro algebra is defined to the normal ordering of the Virasoro generators, and their commutators give an expression consisting of the ordinary classical term plus a "quantum" correction, the famous central extension. Thus the quantum Virasoro algebra can be viewed as a "quantum deformation" of the classical Virasoro algebra, with the central parameter as being the deformation parameter. This philosophy of deformation has found generalization in what are now called `quantum groups' (even though strictly speaking they are much more complicated objects than ordinary groups).
5. The connection of the dilaton to the Euler characteristic.
6. The role of the GSO projection in insuring consistency in the state spectrum.
7. The use of (vector bundle) K-theory to classify D-brane charges. This use arises when it is realized that the conserved R-R charges cannot be identified with cohomology classes of gauge field configurations. Instead, the D-branes are classified by K-theory classes.
8. The discussion on `primitive cohomology' and its relation to de Rham cohomology and Hodge theory.
9. The role of the Born-Infeld structure in ensuring Lorentz invariance of the T-dual description. The Born-Infeld action was once viewed as a mere historical curiosity, namely as a nonlinear generalization of the Maxwell theory, with no experimental backing. That it finds such a natural place in string theory is very interesting (but still of course lacking in experimental support).
10. The derivation of a lower bound for Newton's constant from heterotic M-theory, which is close to the observed value.
11. The argument, beautifully elucidated in this book, that type IIA supergravity may be obtained from 11-dimensional supergravity by dimensional reduction.
12. The discussion on warped space-times and the gauge hierarchy. The authors cleverly motivate this subject by asking why Newtonian gravity follows an inverse-square law rather than an inverse-cube law.
13. An entire chapter is devoted to "stringy" geometry, which is a fascinating subject given that it touches so many areas of modern mathematics.
14. The discussion of the `hidden sector' and its conjectured relation to dark matter and supersymmetry breaking.
15. The author's treatment of the AdS/CFT conjecture is superb and is by far the most interesting part of the book. The dualities shown to exists between gauge theory and string theory are a possible route to a full understanding of nonperturbative quantum chromodynamics, which to this date has defied resolution.
Some major omissions or discussions that need more elaboration include:
1. The difficulties that are actually involved in quantizing the Nambu-Goto action. The authors remark that this is due to the presence of the square root, but it would have been interesting if they would have indicated just where the trouble rises explicitly when a quantization procedure is attempted with the Nambu-Goto action. In ordinary quantum field theory, the presence of the square root is interpreted as a "nonlocal" problem, but even there this issue is not usually dealt with in a manner that is very transparent.
2. A more detailed treatment of string field theory for those readers who want to compare it to what is done in second quantization in ordinary quantum field theory.
3. The role of the Beltrami differentials in the attaining of a measure for moduli space that is invariant under reparametrizations of the moduli space.
4. No in-depth discussion of characteristic classes over and above the algebra involved in their manipulation (i.e. the wedge products). An understanding of characteristic classes is crucial to understanding superstring and brane theory, but the pages of this book mislead the unsuspecting reader that there is nothing to characteristic classes except algebraic manipulation of the differential forms. But characteristic classes have a deep geometrical meaning, and obtaining insight into this meaning has been proven to be difficult for students of string theory. This book does not provide any of this insight, nor do any of the other books currently in print on string theory.
5. Is supersymmetry absolutely necessary for the incorporation of fermions into string theory? The authors seem to argue that it is, but an explicit proof is lacking.
6. The proof that `threshold bound states' are stable is omitted, disappointing the more mathematically sophisticated reader. As the authors remark, the proof involves a special type of index theory involving non-Fredholm operators, and where one must deal with a continuous spectrum. The usual index theory breaks down since one is only dealing with elliptic operators, and contributions to the index from bosons and fermions do not necessarily have to be integers.
7. The authors should have included more discussion on mirror symmetry, beautiful subject that it is.
8. Dp-branes are asserted to be useful in incorporating non-Abelian gauge symmetries in string theory, in that they appear "naturally" as confined to world volumes of multiply-coincident Dp-branes. But is this the best way to introduce these symmetries? Is there a method, other than this one and `compactification', that is just as "natural" and does not have the contrived element that the introduction of Dp-branes sometimes has?
9. The authors need to elaborate in more detail on the definition of "stable" and "unstable" D-brane.
10. The omitting of the proof that string theories are ultraviolet finite theories of quantum gravity. This is by far the most serious omission in the book. This reviewer does not know of a reference that proves this assertion, and many in the physics community have pointed to this omission as being a sign that the string theory research community has been misled by false assertions of proof.
Excellent Book.......2007-03-11
I think this is a great book that provides not only a great introduction to string theory (there is no assumed prior knowledge of string theory), but also provides coverage of many more advanced topics as well. I think it's likely that the vast majority of students specializing in string theory will want to read it at some point in their studies.
The coverage of topics in the first few chapters is in some ways fairly standard. The first two chapters consists of a high level overview of string theory, bosonic string, the Nambu-Goto action the Polyakov action, the Virasoro algebra, the critical dimension, light code gauge and the spectra of open/closed strings. After this there is a chapter on conformal field theory, naturally emphasizing the parts relevant to string theory (including a bit of string field theory). This is followed by discussions of worldsheet supersymmetry, spacetime supersymmetry, anomalies, T-duality and heterotic strings. The writing is very clear and considering the nature of the material, fairly straight forward. There are two things that I considered exceptional strengths. One is that the discussions incorporate D-branes, M-theory and the (unexpected) symmetries of string theory early on. The other is that there are numerous worked examples, as there are throughout the book.
At a very high level the rest of the book contains more extensive discussions of M-theory, compactification (including a substantial amount besides the standard approach of the compact dimensions being a Calabi-Yau space), mirror symmetry, S-duality, possible cosmological consequences of string theory, black holes and other solutions with horizons, matrix theory, AdS/CFT correspondence (a proposed equivalence between closed string solutions on the product of a sphere and anti-deSitter space and Yang-Mills theories) and the holographic principle (or as some would say conjecture).
The things I appreciated the most about this material was that is was a very interesting mix of topics. The discussion of black holes and cosmology was fairly extensive (for cosmology it was the most extensive I've seen in a text book). As was the coverage of the AdS/CFT correspondence. There were also some topics that I don't recall seeing in other string theory books, such as warped geometries in compactification and S-branes (these are like D-branes but they satisfy Dirichlet boundary conditions in timelike directions).
Needless to say it's a fairly advanced book. There is some coverage of things like complex spaces, topology, general relativity and cosmology. However this material is more along the lines of a review, not something intended to teach from first principles (some of the other string theory books cover this kind material in more detail).
All-in-all I believe this book not only provides a great introduction, it also provides an excellent treatment of some of the more advanced topics in string theory.
Best of All Worlds.......2007-03-09
This new textbook on string theory might be considered a modern pimped up version of Zwiebach's introductory course. The book is - as an introduction - better than the 2-volume set by Schwarz (Green, Schwarz, Witten), which is partly outdated, and on the same footing as Polchinski's version, but certainly not as thorough and elaborate. There is some overlap between all books (e.g. the CFT bits from Polchinski are quite similar to those in this new text, the introduction of the bosonic string via the relativistic point particle looks like the ones by Polchinski and Zwiebach, but Becker & Schwarz immediately generalise the concept to p-branes, SCFTs are discussed in a similar manner as in Polchinski, and so on), but there are additional features that really add to the value of the book: all exercises within the text have solutions directly under them, so one can either try to solve them or read them through, and some parts are explained more clearly. The concepts of "(gauge) symmetries" are discussed slightly better than by Polchsinki or GSW, but for those who want mathematical proofs instead of hand-waving arguments, and more background material on supersymmetry, I can only say that I have found no books on string theory that really do that. Both are subjects of study on their own and would go "beyond the scope" of these books... Nevertheless, a very good introduction and most of all: up to date!
For mid-undergraduates, I think, the perfect sequence for string theory would be (provided one acquires knowledge of QFT and Lie algebras for the more advanced texts):
Zwiebach>Becker/Schwarz>Polchinski (supplemented by GSW's first volume)
But if you want to learn string theory more quickly or if you don't have problems with the very basics, then leave out Zwiebach and go for this one immediately. For graduates, Polchinski should be the start, but one can take Backer/Schwarz always as a references and supplement on some topics (connection to black holes and gauge theories).
A Modern Fairytale.......2007-01-30
This is a fabulous excursion into a world inhabited by all sorts of mythical creatures: Calabi-Yau 3-folds, D-branes, orbifolds, ten and eleven-dimensional backgrounds, supersymmetric partners, covariant fermionic vertex operators and many others that only the wildest imaginations can conceive of. The wizards and magicians who have conjured these beasts have also cast a powerful spell on their easily-beguiled followers who see streets of gold and emerald trees as they walk through the morass of E8*E8 gauge fields, compactifications and dualities. This tome will be a welcome addition to your bookshelf right between Harry Potter and Alice in Wonderland. I gladly recommend each of you to take a brief stroll into this enchanted land to be followed by the volumes of Landau and Lifchitz, so that you will be able to find your way back to reality again. Some have called strings "a theory of anything". Indeed, it is a wonderful place where you can make all your wishes come true. But do not stay too long in the kingdom of string theory lest you end up like so many others who are lost, searching endlessly for the legendary realms of M-theory or wandering aimlessly in the infinite labyrinth of the Landscape, wasting the remaining years of their life on naught but a fable.
Most up-to-date string theory tome published this year........2007-01-24
This volume was authored by one of the most respected researchers in the field, as well as the Becker sisters. It is beautifully illustrated, and is well timed for upcomming experimental tests of superstring theory at the Large Hadron collider. I did not give if five starts because it only devoted four pages to the Landscape, which professor Susskind, the father of string theory, has declared the most significant advance in physics in the past century.
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- Ever wonder why energy flows from a hot body to a cooler one?
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- Only modern stat mech book
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Introduction to Modern Statistical Mechanics
David Chandler
Manufacturer: Oxford University Press, USA
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Solutions Manual for Introduction to Modern Statistical Mechanics
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ASIN: 0195042778 |
Book Description
Leading physical chemist David Chandler takes a new approach to statistical mechanics to provide the only introductory-level work on the modern topics of renormalization group theory, Monte Carlo simulations, time correlation functions, and liquid structure. The author provides compact summaries of the fundamentals of this branch of physics and discussions of many of its traditional elementary applications, interspersed with over 150 exercises and microcomputer programs.
Customer Reviews:
Pretty good service.......2007-02-17
The book cover is in worse condition than I expected, but the contents are all there, and it came within a week of ordering.
Ever wonder why energy flows from a hot body to a cooler one?.......2006-02-04
I used this book while taking the course for which this book was designed, Prof. Chandler's stat mech course for first year graduate students.
I agree with the reviewer who wrote that this book avoids a lot of filler that can distort the main thrust of the material at hand.
I disagree with the reviewer who wrote that this is not the book for a beginner. I used this book having studied undergrad p-chem but essentially no stat mech. Being a concise text, one must read carefully to extract the point of each paragraph. I sometimes found myself re-reading certain sections a few times in order to understand them. The abundant prose should be evidence that the author is trying to provide a physical picture to improve the scientific intuition of the reader.
This doesn't mean the book isn't for a beginner. It just means what you should already know: you will not learn stat mech by skimming any text just once with a pint of beer in your hand.
I constantly return to this book for review of thermo and stat mech concepts. For my grad qualifying exams I mostly used McQuarrie for general p-chem overview, but switched right back to IMSM for thermo and stat mech review.
If you're looking for a reference book with every possible stat mech problem worked out to help with your problem sets, this is not it. If you want to understand stat mech this book is the first step.
Good reference book.......2001-05-23
A clear, concise explanation of statistical mechanics. Some people may complain about the "concise" part--in many cases, mathematical exercises are left as exercises to the student. However, this practice allows the reader to really understand the material by doing, not just reading. I learned stat mech for the first time from this book, and only examined other texts (mcquarrie or hill) afterwards.
Caltech Graduate Student.......2000-03-02
This was a great book. It covered the important material and left out all of the extra garbage that most books carry on for pages about. The presentation was done using clear mathematics and modern, easily followed notation. The book is short making it practical to actually read the entire book if you are extremely busy. We used the book in conjunction with Hill. I don't recommend Hill because it is hard to follow.
Only modern stat mech book.......1998-06-22
The best part of this book is that it is modern. You have chapters on Monte Carlo simulations, the Ising model, and more. You don't get long chapters on the partition function of an ideal gas, for example. The bad part about this book is that it is not immediately transparent if you're reading stat mech for the first time. I like it more the more I know about stat mech, but it's not a good beginner's book, and I think it's better to have another book with it - maybe Hill or McQuarrie - since it's not really that long either. Still, recommended (get the soln. manual too) with these caveats.
Book Description
Professor Chandler and a colleague, David Wu, have prepared a solutions manual to Introduction to Modern Statistical Mechanics (Oxford 1987), to be used as an ancillary to the text. The instructive numerical work in the manual is an important supplement, because the material can only be learned by tackling the exercises. Methods of solution are provided for a majority of the problems.
Customer Reviews:
There are more answers online!!.......2006-09-14
This manual provides solutions to select problems only. I recommend the internet over buying this manual; you'll find more solutions there. Even Chandler recommends using other sources at the beginning of the text book.
One of the best.......2002-11-16
This book is really one of the better book on statistical physics. It is short and concise but it is impressive the amount of physics discussed in this book!
And the presentation is really modern.
soso.......1998-06-22
Don't get your hopes up too much. Not all of the problems are solved. The problems that are solved are solved OK but not always in the best way. Still, I'd buy this book all over again, since "Intro to stat mech" by Chandler is pretty cheap to begin with. Just think of it as paying for 1 book.
Book Description
The rise of quantum electrodynamics (QED) made possible a number of excellent textbooks on quantum field theory in the 1960s. However, the rise of quantum chromodynamics (QCD) and the Standard Model has made it urgent to have a fully modern textbook for the 1990s and beyond. Building on the foundation of QED, Quantum Field Theory: A Modern Introduction presents a clear and comprehensive discussion of the gauge revolution and the theoretical and experimental evidence which makes the Standard Model the leading theory of subatomic phenomena. The book is divided into three parts: Part I, Fields and Renormalization, lays a solid foundation by presenting canonical quantization, Feynman rules and scattering matrices, and renormalization theory. Part II, Gauge Theory and the Standard Model, focuses on the Standard Model and discusses path integrals, gauge theory, spontaneous symmetry breaking, the renormalization group, and BPHZ quantization. Part III, Non-perturbative Methods and Unification, discusses more advanced methods which now form an essential part of field theory, such as critical phenomena, lattice gauge theory, instantons, supersymmetry, quantum gravity, supergravity, and superstrings.
Customer Reviews:
This is an Introduction - Not an In-Depth Study...DUH.......2006-11-13
Some of these reviewers need to review the title of the book. This is a "modern introduction to quantum field theory", not some in-depth study with hearty breadth. Duh. For physicist's you people don't have much common sense to speak of.
mediocre exposition.......2006-08-25
This is all around a pretty mediocre, uninspired exposition of quantum field theory. More recent works by Weinberg and Peskin & Schroder, for example, are far more coherent and elegant.
extensive problem sets are useful.......2006-08-13
Several of the other reviewers may be correct, about the quality of the text, and the developments of some of its arguments. It does however go beyond such earlier standard texts, like Sakurai's "Advanced Quantum Mechanics", which was just an introductory treatment of relativistic quantum mechanics. Kaku takes you well into the depths of QCD and the [current] Standard Model.
If you are a grad student wanting expertise in this field, an attraction of the book is its extensive problem sets for each chapter. Perhaps more so than the textual exposition! Another reviewer bemoaned the lack of worked out problems or answers. Well, that lack is the norm for many advanced texts. You just have to get used to it. But a more positive way to look at this is to recognise that sometimes knowing that an answer to a problem exists can be valuable in itself.
Too superficial, but ok reference.......2006-03-21
In my opinion this book is just ok. The breadth of material it covers is good. You can find topics such as critical phenomena and lattice gauge theory among its twenty plus chapters. However, I don't think there is generally much depth. To me the book reads like a catalog of results, I don't see it providing students with any real mathematical or physical insights. The main use I see for it is as a reference.
Page counting isn't a perfect means to determine completeness, but hopefully it does give an impression of the style. A couple of brief examples would be BRST quantization being covered in two pages (almost all equations) and SU(5) in one page. These are just a couple of places where I thought the treatment was so superficial I wondered why it was included at all.
A more detailed example would be the treatment of quantum gravity. It goes from the equivalence principle to Christoffel symbols in five pages, the Robertson-Walker solution is covered in barely more than a page and inflation in two pages. Maybe it's me, but I just don't see people that don't already know this stuff learning it here. Another comment on this chapter concerns the approach to developing classical general relativity. It is based on the properties of covariant vectors and contravariant vectors under coordinate transformation, this is definitely not a modern approach.
The topics it covers are quite interesting, a student with an excellent instructor may find it a useful book. However, I find it hard to imagine many people learning quantum field theory by reading this book. Just off the top of my head I can think of four books that I think most people would find much more helpful in learning quantum field theory: Peskin and Schroeder, Ryder, Weinberg and Zee ("quantum field theory in a nutshell" this isn't so much a traditional text book, but it is very insightful).
Expectations unrewarded.......2003-03-09
My background is a Ph.D. (1963) in physics. My dissertation was based on the Mössbauer Effect, and my brief career in research was in areas of electron transport physics. I never had a strong background in high energy physics, and my quantum field theory exposure was mainly QED.
Now that I am retired, I read some physics and looked to Prof. Kaku's book for a survey of current QFT and an introduction to string theory. I have just finished reading Chapter 2, which the Preface states may be skipped by the student who "already understands the basics of group theory . . . or who does not want to delve that deeply into the intricacies of quantum field theory." I certainly did not place myself in that class of student and decided to delve.
The presentation of Chapter 2 leads to the "essential point" (p58) that the Lorentz and Poincaré groups are at the heart of quantum field theory, and "the results of this chapter will be used throughout the book". For that reason, the results should have been developed with great clarity, and I cannot say I found that true.
For example, equations 2.104 which state the Poincaré algebra, as described as showing that translations transform as a vector under the Lorentz group. But the transformation of a vector is defined by eq. 2.91. No connection is anywhere demonsrated between eq. 2.91 and 2.104; nor elsewhere between commutation relations and the transformation of vector fields.
In the discussion of the Casimir operator, the Pauli-Lubanski tensor (p.55), the evaluation in the rest-frame of the space part of the vector (tensor) based on eq. 2.106 leads to "the rotation matrix in three dimensions." But eq. 2.106 is an operator equation, whereas the result (eq. 2.108) is a matrix equation. What is the connection?
I shall plow on with the text in the hope that it will become clearer as I proceed. My feeling at this point is frustration, because I cannot tell for whom this book was written.
Book Description
The importance and the beauty of modern quantum field theory resides in the power and variety of its methods and ideas, which find application in domains as different as particle physics, cosmology, condensed matter, statistical mechanics and critical phenomena. This book introduces the reader to the modern developments, assuming no previous knowledge of quantum field theory. Along with standard topics like Feynman diagrams, the book discusses effective lagrangians, renormalization group equations, the path integral formulation, spontaneous symmetry breaking and non-abelian gauge theories. The inclusion of more advanced topics will also make this a most useful book for graduate students and researchers.
Customer Reviews:
A Wonderful Book For Quickly Learning The Meat Of QFT.......2007-06-13
This book is short and to the point. The author has a good sense for the heart of the subject and how to present it in an efficient way. I would recommend this book to anybody who wants to either a.) learn the meat of QFT quickly or b.) wants a good reference which quickly reviews the most important parts of QFT. Since the technical details are important, I would highly recommend using this book in conjunction with a book with more technical details like the one by Peskin and Schroeder. (However, this book does have a lot of good information for its size.) Reading this book will help catalyze your understanding of the details in a more technical book.
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Introduction to Electromagnetic Theory: A Modern Perspective
Tai L. Chow
Manufacturer: Jones & Bartlett Pub
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ASIN: 0763738271 |
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Perfect for the upper-level undergraduate physics student, Introduction to Electromagnetic Theory presents a complete account of classical electromagnetism with a modern perspective. Its focused approach delivers numerous problems of varying degrees of difficulty for continued study. The text gives special attention to concepts that are important for the development of modern physics, and also discusses applications to other areas of physics wherever possible. A generous amount of detail has been in given in mathematical manipulations and vectors are employed right from the start.
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Introduction to Modern Theoretical Physics
Edward Grant Harris
Manufacturer: John Wiley & Sons Inc
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Infrared Spectroscopy of Molecular Clusters: An Introduction to Intermolecular Forces (Springer Tracts in Modern Physics)
Martina H. Havenith
Manufacturer: Springer
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The subject of the book is the spectroscopy of weakly bound complexes of molecules as a tool for understanding the intermolecular interactions. The book gives an introduction to the theoretical description of intermolecular forces and a presentation of recent experimental spectroscopic techniques. Two examples -- the Ar--CO and (NH3)2 complexes -- demonstrate the use of these new concepts and the surprising results.
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