Lie Algebras in Particle Physics (Frontiers in Physics)

Book Description

An exciting new edition of a classic text

Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate students, while offering a perspective on the way in which knowledge of such groups can provide an insight into the development of unified theories of strong, weak, and electromagnetic interactions.

Customer Reviews:

classical.......2005-08-05

very well written text about the algebra of standard model,
but not for beginers,a very solid background in particle physics
and symmetry methods for physics is required

A good *first* start.......2003-08-14

This book is good for what it is, namely, something to get your feet wet. When learning the basics of particle physics, e.g. as an undergrad or a beginning experimentalist, this is the quickest way to get a feel for the standard model gauge group.
However, this is *not* a complete text on group theory in particle physics (and therefore, little of what you need for supersymmetric field theories and string theories). So in addition to this book, you'd need something else with an introduction to the other things you need for your particular interest. Try Gilmore's "Applications of Lie algebras...", which I believe is out of print (in libraries). Also, Cornwell's abridged "Group theory in physics" is good (though if you can find the older set of three volumes, that may be more suited to your desires).
I don't suggest many of the other books on group theory for particles/fields/strings. There are tidbits of group theory you can pick up in the particular text you are working with, e.g. "Quantum theory of Fields" by Weinberg if you are learning quantum field theory.
For mathematical physics in general, I strongly suggest "Gauge fields, knots, and gravity" (John Baez), "Differential Geometry for physicists" (Chris Isham), and "Mathematical Physics" (Geroch).

What do you need more?.......2003-02-11

I'd say that, at least, the Georgi's book is too underestimated here.

I agree that this book lacks some notions and concepts which are usually dealt with in the matmatical literature, but not on logical clearity. Every book has its own way. For example the later parts of Green, Schwarz and Witten are also a mere sketches but it sufficiently pinpoints every important steps. A physically inclined reader(?), soon realize that it is filled with (and you may feel the leakage of) the master's intuition. You can see what mathematics going on beneath the physics. It is a well-framed series of informal lectures which reveals some space-between-lines secret.

good supplement.......2002-03-09

good supplement of introductory quantum field theory. particle physics books often have aggressiveness but this is in a relaxed mood, apt for reading in fine sunday mornings. 27 chapters in 300 pages, short chapters, without one for manifold and topology. from this book you can't get a mathematically deep understanding of Lie algebra nor exotic viewpoint for particle/string, but that's not this is for. i hope someday this will be included in Dover classics.

1.finite groups 2.Lie groups 3.SU(2) 4.tensor operators 5.isospin 6.roots and weights 7.SU(3) 8.simple roots 9.more SU(3) 10.tensor methods 11.hypercharge and strangeness 12.Young tableaux 13.SU(n) 14.3-d harmonic oscillator 15.SU(6) and the quark model 16.color 17.constituent quarks 18.unified theories and SU(5) 19.classical groups 20.classification theorem 21.SO(2n+1)and spinors 22.SO(2n+2)spinors 23.SU(n) Mediocre.......2001-09-01

Georgi's book has its strengths and weaknesses. It is very strong on application to physics but suffers greatly from a lack of mathematical substance. It has all the earmarks of a mathematics book written by a physicist: lots of physical insight but poor logical structure. Clear definitions and statements of theorems are missing and contribute to the nebulous feel of the text.

This is the kind of book that a casual reader will go through and think he has learned alot but for which the serious student who seeks a precise, thorough understanding of the material will likely end up confused at many points. It is a book of tools. The reader will not obtain a mastery of the subject but must suppliment this book with other, more theoretical treatments of representation theory.

Book Description

Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level. Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.

Customer Reviews:

A wonderful introduction to critical phenomena.......2007-03-19

This book stands clearly to me as the best one on the vast and fascinating subject of phase transitions, critical phenomena and the renormalization group. My other references are Binney et al., Le Bellac and Yeomans. Nigel Goldenfeld's course is the most suitable for a first contact with the field. It stresses in a exceptional way the ideas lying under each concept and has a gift for explaining what's really going on beyond the equations. This can most clearly be seen with his careful discussion of ergodicity and symmetry breaking.
Moreover, this book is remarkable in that it presents various openings on modern issues ; it includes an overview of disordered systems and a rather complete discussion of dynamical critical phenomena.
After reading this book, you'll probably be ready to fully appreciate the typical treaties on critical phenomena, which use more sharp technical tools but which require a good understanding of the associated physics you'll only find so beautifully presented in Nigel Goldenfeld's book.

I could *become* a classic.......1999-11-17

As other reader has put, this is not a classic book, in that the main focus is renormalization group, which is certainly a very dynamic field. Nevertheless, the introduction and discusion of other topics I find very good, so time and time I come back to this book to read again about some other topic which is *not* the RG (ergodicity, the Ising model, dynamics...).

Good Book -- but not a classic.......1999-05-15

"Lectures on Phase Transitions and the Renormalization Group" is a good text, and a wonderful place to learn about the remormalization group in terms of real physical systems many of which can be measured in your basement (as opposed to HEP which, unless your basement happens to include fermilab is out-of-reach). This book is not a classic, not because it is a poor book, but because this is a dynamical area of modern research.

Quantum Field Theory of Point Particles and Strings (Frontiers in Physics)

Average customer rating:

Much inferior to Ryder for intro QFT
an intriguing book, what should I say?
Nice to read, but not complete.
One of the best for understanding QFT
Excellent reference book for students

Quantum Field Theory of Point Particles and Strings (Frontiers in Physics)
Brian Hatfield
Manufacturer: Westview Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0201360799

Book Description

The purpose of this book is to introduce string theory without assuming any background in quantum field theory. Part I of this book follows the development of quantum field theory for point particles, while Part II introduces strings. All of the tools and concepts that are needed to quantize strings are developed first for point particles. Thus, Part I presents the main framework of quantum field theory and provides for a coherent development of the generalization and application of quantum field theory for point particles to strings.

Customer Reviews:

Much inferior to Ryder for intro QFT.......2002-06-09

I endorse most of what the reviewer below says except that Jasonc65 from Wilmington has forgotten that the derivative with respect to complex z=x+iy is d/dz=1/2(d/dx - i.d/dy) so that he should have got pi=half[i.phi(star)] by both methods - which is the right answer! Hatfield has simply got it wrong. Similarly,pi(star)=minus half(i.phi). For the correct treatment see Franz Gross "Relativistic Q.M. and Field Theory" chapter 7. And it's not the only error; simply "plugging (2.52) into an equation like (2.47)" clearly does not give (2.50) and (2.51) but gives an imaginary probability density and no i-factor in the spatial components.
Hatfield's treatment is not the step by step approach claimed but rather piecemeal and with a cavalier attitude to index house-keeping minus signs and factors of i and 1/2 etc. He is further let down by the typesetting of Perseus books that makes hardly any use of boldface characters, uses a point size for indices and suffixes not much smaller than the normal font and an almost typewriter-like character spacing in equations and formulae that make them sprawl across the page in a way less easy to scan than most other publisher's neatly grouped expressions.
For a step by step introduction that is clear, reasonably rigorous and more readable than Hatfield, I would strongly recommend Lewis Ryder's QFT book notwithstanding that it is mainly oriented towards the path integral formulation.

an intriguing book, what should I say?.......2002-04-03

This book promises to be a nice read for someone with minimal background. And many people with backgrounds in physics say it's an easy read. Maybe it is for them, but not for me. Now, I admit, I am a wannabe physicist. Most of my background is in pure mathematics and computer programming. However, I have recently taken up an interest in physics, and of all the sciences, I find that books in advanced physics are the most difficult to understand, in general. It has taken me many painful hours just to understand the Langrangian and the Hamiltonian, and just last week I finally mastered Noether's theorem. And by page 20 of this book, I'm exposed to the Lagrangian density, kind of a continuous extension of the notion of the Lagrangian. Well, generalizing from finitely many particles to a continuous field is not really that difficult. And I guess that is a very important insight in and of itself. But as I read the next 5 pages, I am absolutely dumbfounded by the stretch of rigor. I can't guess what rule they'll break next, as they assume that every calculation rule will carry over in their transition from one domain to another. In fact, as I write this review, I am still stuck pondering page 25, wondering how they justify every single step.

This is not the first time I've tried to read this book. I've had to frequently consult other books on mathematical physics before I could proceed any further. Now, I admit, that while my background in mathematics is thorough, I've never had a formal education in physics, and I'm trying as best as I can to read all the books on mathematical physics, quantum mechanics, QFT, QED, GR, etc. And I think I have the handle on the Hamiltonian, and how it is used in both classical and quantum mechanics.

On pages 21-22, I have to pour over calucations using integration by parts, and using some unstated boundary conditions, a minor difficulty with which I can cope. But then I find out the the author wants the Lagrangian density to depend on a complex function, and it's conjugate. So while I'm stuck in the middle of page 23, I have to redo all the calculations in my head. Now, that sure isn't step by step detail, as the preface claims. The author doesn't even tell me how I'm supposed to differentiate with respect to the complex functions. Am I supposed to treat the field and its conjugate as complex variables, or am I supposed to pretend that the Lagrangian density really depends on the real and imaginary parts of the field and thus consider two real fields instead of one complex field? I've tried both methods, and neither one of them satisfies my sense of rigor.

In equation (2.52), the author gives the Lagrangian, promising the reader it can easily be calculated by working backwards through the previous equations. I don't find that easy to do in my head at all. I've managed to work forwards and verify that the Lagrangian satisfies the invariance and reproduces Shroedinger's equation. But that was only after I poured over the next paragraph and realized that the transformation factor was supposed to be an imaginary number. Until then, it didn't make sense at all.

Now, I get to (2.53), where Hatfield gives the conjugate momentum as pi = i conjugate phi, without showing any intermediate steps. I tried differentiating with respect to the real and imaginary parts, and I got pi = -i phi. When I tried it again with complex differentiation, which I feel is less plausible, I got pi = i/2 conjugate phi. As always, either I'm not understanding what how the author wants me to make the transition, or else he's doing a sloppy job of it. Of course, like most other physics books, there are arithmetic errors that I have to sort through, and that only makes it worse. I find out only after pondering for days on a single line that the author meant a plus sign where he used a minus.

Well, I tried to forget about this confusion and move on. The author gives the Hamiltonian in (2.55), and then begins to discuss how to second quantize the result. Now, I'm not even sure how the differential operator carries over. In order to justify the claim that (2.55) reproduces the (2.37), it seems that I have to now assume that both d/dx and V(x) commute with phi(x,t). In the first quantized system, this is pure nonsense.

Now, I'm on page 25, where the author is discussing expansion in terms of eigenfunctions. It is smooth sailing until I get to (2.59), where in order to justify the last step, Hatfield makes the absurd claim (2.60), and I'm still trying to figure it out. I can only justify that claim if I confuse integer variables with continuous variables and treat the equation as a matrix equation. After all, you're dealing with a unitary matrix. But just try it with Hermite functions (energy eigenfunctions for the harmonic oscillator problem) and you'll run into problems with infinities. Of course, calculations with the Dirac delta function have never been fully rigorous, so maybe I'm kidding myself.

As you can see, I've only begun the book, so I can't really give a complete review of the whole thing, but it sure seems to be promising to be one headache after another.

Nice to read, but not complete........2001-03-20

This book is nice to read, I agree with most of the previous reviews about this. Some things are interesting, e.g. the chapter on Schrodinger picture, which is almost completely ignored in most textbooks. The style is very readable and the text gives some useful insights. However, it is not suitable as a reference on QFT or on strings because a number of subjects are left out: renormalisation of gauge theories (only QED is handled), symmetry breaking, the standard model, dimensional regularisation, supersymmetry, superstrings. In less pages, Ryder covers all these subjects, except strings, but in the end gives less insight on the inner working of the theory.

One of the best for understanding QFT.......2001-03-14

This book is readable (you don't have to sit down with paper and pencil and work out a page of calculations to get from one line to the next, for most of the text)and it is clear (concepts are defined and explained). It is not really suitable as a first exposure to QFT for the reader would be better off with some familiarity with Feynman diagrams and relativistic quantum mechanics beforehand. With this background Hatfield's book is very valuable as a source for understanding the meaning behind QFT. Many other field theory texts seem to be concerned with little beyond the motions of handling the mechanical formalism and obtaining quantitative results to problems. This book instead gives the reader insight into field theory, does a good job at giving the big picture and stressing the transition from ordinary QM to the field aspect. Besides this, Hatfield's informal prose makes the book enjoyable to read. It has a fair share of typos throughout but most are quite easy to find. Compared to some of the popular field theory texts out there (P&S, Ryder) this one stands head and shoulders above.

Excellent reference book for students.......2001-03-07

This is not a typical field theory book. From the very beginning the aim is to teach the reader all the concepts and methods which will be useful to learn string theory which form the last third of the book. Excellent examples of this can be found in the chapters on path integral and also in the chapter on Fadeev-Popov method. Almost all calculations are shown in step by step detail and it is very useful for the students who are learning field theory for the first time. The organization of the book is a little different from the usual mold of field theory books, but one can get use to it. One just has to realize that while most of the field theory books on the market (except for Weinberg's 3 volume text and one or two other) aim at teaching how to derive Feynman rules and how to calculate a few processes , this book by Hatfield is trying to take the "field theory book" audiance (who are usually phenomenology oriented) to a different playground "introduction to strings". This is an excellent book and a definite break from the old "B&D book 1 and 2" tradition and I would recommend it to both students and teachers (most of whom are still stuck in the old mode) alike. K. M. Maung Department of Physics Hampton University Hampton, Virginia 23668

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COLLIDER PHYSICS (Frontiers in Physics)
BARGER
Manufacturer: Westview Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0201149451

Journeys Beyond the Standard Model (Frontiers in Physics, V. 101.)

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A well-prepared travell

Journeys Beyond the Standard Model (Frontiers in Physics, V. 101.)
Pierre Ramond
Manufacturer: Westview Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0813341310

Book Description

This book should be at the side of every particle and nuclear physics graduate student and professional. Journeys Beyond the Standard Model starts with a detailed and modern account of the Standard Model of elementary particle physics, the paradigm of particle physics for the last twenty years. Its timely release coincides with the recent dramatic discovery that the neutrino has a finite mass, which is the first indication that the Standard Model is an incomplete description of fundamental physics at short distances. This book presents in detail three possible generalizations of the Standard Model: its extension to accommodate neutrino masses; its extension to avoid CP violation in the strong interactions by introducing a new particle, the axion; and finally, its generalization to low-energy supersymmetry, which provides a link between the standard model and Einstein's theory of general relativity. This graduate text complements the author's previous book, Modern Field Theory: A Primer, which focuses on the methodology of particle physics. Its aim is to give students and professional physicists alike a thorough understanding of the phenomena described by the Standard Model, while keeping track of the most recent and cutting-edge principles of elementary particle physics.

Customer Reviews:

A well-prepared travell.......2000-05-09

Judging by this book, Pierre Ramond must be somebody who spends more time packing his suitcases than travelling. He must therefore be a very well-prepared and careful traveller. Two-thirds of "Journeys Beyond the Standard Model" is devoted to the Standard Model of fundamental particle interactions. Considerable understanding can be revealed by undertaking the journeys described in Pierre Ramond's book, provided the traveller invests in the Standard Model groundwork excellently surveyed in the book's initial chapters.

Gian Francesco Giudice/ Theoretical Physics Division, CERN

Customer Reviews:

feynmans way.......2001-04-25

I think this is a good supplemental book. it's like his course on physics; you cant learn from it alone; but with a canonical text it adds wonderful insight on a subject. His theory of fundamental processes is out of date (way before tau neutrinos, and there are mistakes in parts); so i would avoid that one. this one I find to be about the level of sophistication of his lectures on gravitation, but explaining field theory. Feynman naturally has a slightly more functional approach than other books of this era. I think it's a good book to keep next to something like peskin and schroeder in ones personal library

The first great Feynman classic.......2001-02-13

This book collects a set of lectures by Feynman on quantum electrodynamics and a few reprints of his papers on the subject.Nowadays it would be a (hard) graduate course. At its time it was written for Feynman's peers. At that time the method developped by him, though he had total control of it, was not complete as far as derivations are concerned. However, each topic was solidly grounded on the basis of specific arguments. This is how things are done. Usually you have a hundred incomplete arguments which, put together, are, so to speak, stronger than a formal demonstration. And, what arguments! What insight this (then) young guy had already!This book is for pleasure! You probably should read it together with some modern text, like Veltman's "Diagrammatica", to get the modern perspective and also to see how little, after all, was changed. A companion book, called "Theory of Fundamental Processes" is also a sterling lecture, for the same reasons. Perhaps even more so.

Question.......2000-08-24

I know two kinds of books on the Quantum Electrodynamics by Richard P. Feynman; "Q.E.D." and this title "Quantum Electrodynamics". Once I owned both. But by my mistake I lost "Quantum Elec...". Rubendoz's review looks like one for "Q.E.D.", a good book for the Physics Student who begins to learn Q.E.D., but also good for the laymen who wants to understand the perspect of the theory.
Now my question: Tell me - since Rubendoz's review confuses me - if this book is a renamed version of the easier - if it is - book, "Q.E.D.", or the formula-prone book, "Quantum Electrodynamics" , to say, the harder book. I wish there were the publisher's review which would make this point clear.
Thanks.

Once More.......2000-05-23

I only had the opportunity to browse around this book. However, I imediately realized that this one was worth reading calmly. Once more Fayman explains this generally abstract subject with his grace and knowledge, making it easier to digest the material. If you have read any of Fayman's book, you know his ways of explaining things are just superb. So, without further explanations, this book it is worth every penny, it worked for me, a Physics student, and it will work for anyone who's interested in this matter.

QED IN NUTSHELL !.......1999-01-05

People reading this book must be safely assumed to be physics oriented guys esp the ones in particle physics. The book is a good introduction for an amateur who is not necessarily a good mathematician cuz this book has surprisingly NO glamorous formulae associated with QED.It doesn't give you in-depth scrutiny of the high-energy world yet it gives you enough to keep you interested all the way. The title can be mis-leading cuz it doesn't really cover extensive knowledge about the field, should've been introductory QED or something on those lines. Anyways should be fun to read iff you want to know the nuances of matter !

Quarks: Frontiers in Elementary Particle Physics

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Quarks: Frontiers in Elementary Particle Physics
Y. Nambu
Manufacturer: World Scientific Pub Co Inc
ProductGroup: Book
Binding: Paperback

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Introduction To Ultrahigh Energy Cosmic Ray Physics (Frontiers in Physics)

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Obsolete

Introduction To Ultrahigh Energy Cosmic Ray Physics (Frontiers in Physics)
Pierre Sokolsky
Manufacturer: Westview Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0813342120

Book Description

Cosmic ray physics has recently attracted a great deal of attention from the high energy physics community because of the discovery of new sources and the advent of new techniques. The result of a series of lectures prepared for graduate students and postdoctoral researchers, this book is a general introduction to experimental techniques and results in the field of ultrahigh energy cosmic rays. It succinctly summarizes the rapidly developing field, and provides modern results that include data from newer detectors. Combining experiment and theory, the text explores the results of a single, easy-to-understand experiment to tie together various issues involved in the physics of ultrahigh energy cosmic rays.

Customer Reviews:

Obsolete.......2006-12-16

This book was published in 1988. While it is called a Rev Ed 2004, the numerous references in it are all to papers before 1988, some of which are referred to as recent. There is no indication that any change has been made to bring the book up to date.
I gave it the lowest possible rating not as a criticism of the work itself. As far as I can tell, and I am not well qualified to judge it, this was a fine and informative book in its day. What I am unhappy about is that whoever put Rev Ed 2004 gives the impression the book was brought up to date in 2004 when it was not. This is a subject which was developing rapidly when the book was written and with additional satellites and high energy theories it has no doubt continued to develop since then.

Modern Kaluza-Klein Theories (Frontiers in Physics)

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Modern Kaluza-Klein Theories (Frontiers in Physics)
Thomas Appelquist , and Alan Chodos
Manufacturer: Addison Wesley Publishing Company
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Binding: Hardcover

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Quantum Many-Particle Systems (Frontiers in Physics)

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Clear, precise, and modern
An important book for beginner cond-mat physicists and more.

Quantum Many-Particle Systems (Frontiers in Physics)
J. W. Negele , and Henri Orland
Manufacturer: Perseus Books (Sd)
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Binding: Hardcover

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ASIN: 0201125935

Book Description

This volume explains the fundamental concepts and theoretical techniques used to understand the properties of quantum systems used to understand the properties of quantum systems having large numbers of degrees of freedom. A number of complimentary approaches are developed, including perturbation theory; nonpurturbative approximations based on functional integrals; general arguments based on order parameters; symmetry, and Fermi liquid theory; and stochastic methods. Each approach provides its own insights and quantitative capabilities, and in conjunction provide a powerful framework for understanding a wide variety of physical systems. Written at a level for graduate students with no prior background in manybody theory, this classic text is intended for physicists in solid state physics, field theory, atomic physics, condensed matter physics, quantum chemistry, and nuclear physics.

Customer Reviews:

Clear, precise, and modern.......2002-09-11

A great physics book for field theory applied to condensed
matter and sometimes nuclear physics problems. The authors
are EXTREMELY careful mathematically and really don't skip
any steps or shove stuff under the rug; in fact, the first
chapter is just all math about how to do integrals and path
integrals and field integrals and deal with Grassman numbers.
A bit unusual for a physics book, but that's their style.

The rest of the book deals with the usual and other material:

zero-temperature Green's functions and perturbation theory
(for energy, Green's function, etc.) The treatment is detailed
and relatively exhaustive. Then there is the same for finite-
temperature. The earlier sections on linear response are
concise and one of the best treatments of the subject I have
seen leading directly to the fluctuation dissipation expression
(after this book I realized this vaunted "fluctuation-dissipation" that no one can explain is just
a straightforward thing about commutators and pert. theory).

The book also has other good stuff: a chapter on mean field theory, Landau-Ginzburg theory, order parameters, and a nice
discussion about spontaneous symmetry breaking that helps
clarify a bunch of stuff. Then there is a whole chapter on
further aspects of one-particle Green's functions (Dyson
equation, solving for poles, quasiparticles, satellites, etc.)
that is pretty good and gets the physical point across. There
is also a chapter on statistical (monte carlo, numerical, etc.)
methods for doing quantum many body problems. While some of
the methods are not the most up to date or modern, the basics
are all there (Monte Carlo, Hubbard-Strataonvich (spelling?),
inverting matrices via Monte Carlo, some stuff about lattice
systems, Langevin equation simulation for Monte Carlo, updating
problems, etc.) There is also a chapter on more advanced
functional integration stuff. Also there is a nice description
of the loop expansion and whatnot.

The book is very well written, has no errors as far as I can
tell, and is exhaustive on what it treats. The problems at
the end of the first few chapters deal with physics problems
and help build intuition whereas the texts in these chapters
are more formal. The book could use some more physical insights
sprinkled throughout, but that is not too much of a drawback.

The book is based on functional integration (Feynman integral)
methods for field theory: this is the modern way folks do it
and it is a powerful way of doing field theory both to
derive results, connect results, do expansions and what not,
and also for certain kinds of monte carl computations. So
having read this, the reader is up to date on a pretty modern
view of field theory in condensed matter (and somewhat on
nuclear physics).

Highly recommended unless you can't stand precise and long
mathematical treatments. My only misgiving is that sometimes
I wish the authors provided more physical insights for certain
concepts and gave some examples rather than "just the math";
but they do this in other parts of the book, so perhaps
my complaint, which is not that serious, is more about the
uneven way this is done. Nevertheless, this is 5/5 and a book
you will read many times and learn from many times.

An important book for beginner cond-mat physicists and more........2000-04-10

A very good introduction to the many particle systems, includes all from the basics of coherent states to very complex parts of theory.

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