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61. Field Theory in Particle Physics, Volume 1 (North-Holland Personal Library) by B. de Wit, J. Smith | |
Paperback: 1
Pages
(1986-08-15)
list price: US$73.95 Isbn: 0444869999 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
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Vol.2 should come soon! |
62. Quantum Field Theory in Condensed Matter Physics by Alexei M. Tsvelik | |
Paperback: 380
Pages
(2007-01-18)
list price: US$50.00 -- used & new: US$43.19 (price subject to change: see help) Asin: 0521529808 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
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Modern overview that emphasizes the physics That quantum field theory is similar to statistical mechanics is used extensively in this book. Loosely speaking, one can view the quantum field theory of a system in a certain dimension as a statistical mechanical system in one dimension more. This simplifies calculations considerably, and in condensed matter physics things get even easier since a lattice is present, thus allowing one to deal more transparently with the problems with infinities that will always appear in quantum field theory. The author gives an overview of quantum field theory in the first part of the book, it being assumed that the reader already has a strong background in it. The calculation of correlation functions is the main goal of the book, and to facilitate this, the author introduces the path integral formalism. Wick's theorem, the tour-de-force of calculations in quantum field theory is then derived. Explicit calculations are done for a bosonic field in an external field using the now ubiquitous mathematical identity that "the determinant of an operator is the exponential of the trace of the logarithm of the operator. One should remember when reading these pages that the considerations are purely formal since no mathematical justification has been given for the path integral measure. Perturbation theory and Feynman diagrams are discussed (of course) and the infinities that arise in perturbation series are dealt with using regularization procedures. Since the author is dealing with problems in condensed matter, where a lattice is present, he labels quantum field theories as "universal" if there is no dependence of the correlation functions in the lattice. Since regularization procedures are obviously dependent on the lattice spacing (the "ultraviolet" and "infrared" divergences), physical quantities that depend on this are called "non-universal" by the author. The standard characterization of a theory as being "renormalizable" is reserved for those where the perturbation expansion can be reformulated so that non-universal quantities appear as a finite number of parameters. This leads to a formulation of the "universality hypothesis" and the renormalization group. The author states the Gellman-Low equation, and shows that the behavior of the Gellman-Low function graphically. The properties of this function in predicting asymptotic freedom and phase transitions are discussed in detail. The O(N) model is used to illustrate some of the phenomena exhibited by quantum field theories, such as symmetry breaking and the origin of Goldstone bosons. All of these considerations involve only bosonic quantum field theories, but the inclusion of fermions is done in the second part of the book. The discussion here is also more physical, as the author discusses electrodynamics in metals, the treatment however being non-relativistic. This is remedied though later as the author treats quantum electrodynamics. The Schwinger model, and the origin of anomalies as a screening of the electromagnetic field is discussed, and this discussion is more physically motivated and better appreciated intuitively than the one based on path integral measures. The famous Boson-Fermion equivalence in (2+1) dimensions is discussed in terms of the Aharonov-Bohm effect. This is an interesting discussion and one that is somewhat unorhodox, as it is usually not presented in this way. It clearly shows the physical meaning of adding the Chern-Simons term to the Lagrangian, presented in most books as being merely a mathematical device. Spin systems are the subject of part 3 of the book, with the author noting at the beginning that such systems are complicated to study due to the commutation relations of the spin operators. The emphasis is on disordered magnetic systems, and the presentation is crystal clear from a physical standpoint. The role of continuous symmetry in the nonlinear sigma model, and the breaking of discrete symmetry by short range quantum fluctuations is discussed in detail. The reader is also briefly introduced to the physics of doped antiferromagnets. The last part of the book is the most exotic, and one that is better understood from a mathematical standpoint. The physics of (1+1)-dimensional quantum systems has turned out to be more of a mathematical playground however, as it turns out to have many experimental manifestations, as the author points out many times. In addition, his treatment of the quantum field theory of the free massless bosonic scalar field shows that even a seemingly trivial action can have non-trivial properties in terms of its correlation functions. Perturbing this action by a cosine term gives the sine-Gordon model, which is exactly solvable, and its connection with conformal field theory is shown by the author. The famous Kosterlitz-Thouless transition is also treated in fair detail. The Ising and spin 1/2 Heisenberg models are discussed in terms of conformal field theories and bosonization. The reader thus gets a physical motivation for the consideration of conformal field theories that have resulted in an enormous amount of research in the past decade. And, also, the reader can see clearly the origin of Kac-Moody algebras and non-Abelian bosonization in these and latter discussions on current operators. The Kondo problem, dealing with a magnetic impurity in a metal, and one of the most difficult problems in condensed matter physics, is treated here in detail in one dimension at half-filling.
The Best Introduction to CFT for CMT Theauthor gives a fuller treatment of the subject in his new book"Bosonisation and Strongly Correlated Systems", which, quiteunfortunately, has not yet come out in paperback and is prohibitivelyexpensive in hardcover.
physical review |
63. Class Field Theory (Ams Chelsea Publishing) by Emil Artin and John Tate | |
Hardcover: 192
Pages
(2008-12-17)
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64. Non-Perturbative Field Theory: From Two Dimensional Conformal Field Theory to QCD in Four Dimensions (Cambridge Monographs on Mathematical Physics) by Yitzhak Frishman, Jacob Sonnenschein | |
Hardcover: 456
Pages
(2010-05-24)
list price: US$130.00 -- used & new: US$112.96 (price subject to change: see help) Asin: 0521662656 Canada | United Kingdom | Germany | France | Japan | |
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65. Class Field Theory: From Theory to Practice (Springer Monographs in Mathematics) by Georges Gras | |
Paperback: 512
Pages
(2010-11-02)
list price: US$129.00 -- used & new: US$129.00 (price subject to change: see help) Asin: 3642079083 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Global class field theory is a major achievement of algebraic number theory based on the functorial properties of the reciprocity map and the existence theorem. This book explores the consequences and the practical use of these results in detailed studies and illustrations of classical subjects. In the corrected second printing 2005, the author improves many details all through the book. |
66. Quantum Theory as an Emergent Phenomenon: The Statistical Mechanics of Matrix Models as the Precursor of Quantum Field Theory by Stephen L. Adler | |
Paperback: 240
Pages
(2009-07-23)
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67. The general theory of quantized fields (Lectures in applied mathematics) by Res Jost | |
Hardcover: 157
Pages
(1965)
Asin: B0007DUAUK Canada | United Kingdom | Germany | France | Japan | |
68. The Classical Theory of Fields, Fourth Edition: Volume 2 (Course of Theoretical Physics Series) by L D Landau, E.M. Lifshitz | |
Paperback: 402
Pages
(1980-01-15)
list price: US$60.95 -- used & new: US$52.99 (price subject to change: see help) Asin: 0750627689 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (26)
Just one word; genius.
A good reference book for EM students
Does the Work of at Least Four Modern Texts on the same subject
Physics/math study
The work of a master |
69. Introduction to Quantum Theory by Harry Paul | |
Hardcover: 182
Pages
(2008-07-07)
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70. Bayesian Field Theory by Jörg C. Lemm | |
Hardcover: 432
Pages
(2003-06-06)
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Editorial Review Product Description Long the province of mathematicians and statisticians, Bayesian methods are applied in thisground-breaking book to problems in cutting-edge physics. Joerg Lemm offers practicalexamples of Bayesian analysis for the physicist working in such areas as neural networks,artificial intelligence, and inverse problems in quantum theory. The book also includesnonparametric density estimation problems, including, as special cases, nonparametric regressionand pattern recognition.Thought-provoking and sure to be controversial, Bayesian FieldTheory will be of interest to physicists as well as to other specialists in the rapidly growingnumber of fields that make use of Bayesian methods. |
71. Quantum Theory of Collective Phenomena (Monographs on the Physics and Chemistry of Materials) by G. L. Sewell | |
Paperback: 248
Pages
(1990-01-04)
list price: US$35.00 Isbn: 0198513860 Canada | United Kingdom | Germany | France | Japan | |
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72. Elementary quantum field theory (International series in pure and applied physics) by Ernest M Henley, Walter Thirring | |
Hardcover: 277
Pages
(1962)
Asin: B0006AX970 Canada | United Kingdom | Germany | France | Japan | |
73. An Interpretive Introduction to Quantum Field Theory by Paul Teller | |
Paperback: 186
Pages
(1997-01-17)
list price: US$29.95 -- used & new: US$12.93 (price subject to change: see help) Asin: 0691016275 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Paul Teller presents the basic ideas of quantum field theory in a way that is understandable to readers who are familiar with non-relativistic quantum mechanics. He provides information about the physics of the theory without calculational detail, and he enlightens readers on how to think about the theory physically. Along the way, he dismantles some popular myths and clarifies the novel ways in which quantum field theory is both a theory about fields and about particles. His goal is to raise questions about the philosophical implications of the theory and to offer some tentative interpretive views of his own. This provocative and thoughtful book challenges philosophers to extend their thinking beyond the realm of quantum mechanics and it challenges physicists to consider the philosophical issues that their explorations have encouraged. Customer Reviews (3)
A fair introduction, but needs to be greatly expanded In the preface, the author describes quantum field as a subject that is "notoriously hard to learn". He admits having severe difficulty in the learning of it, which he blames on the lack of good presentations of the subject. One can easily find though superb explanations of QFT in the literature, both in preprint and textbook form. His presentation of QFT could loosely be described as the "older" quantum field theory, since he does not address guage theories and makes no use of modern mathematical formalism. By his own admission, all of the ideas in the book were known by 1950. The title of the book reflects the author's view of an interpretation of a theory, namely that it gives a similarity relation that is hypothesize to hold between a model and the properties of things that the model is supposed to characterize. This notion of similarity is a purely qualitative one though, as is typical in most discourses on philosophy. For the author, the issue for interpretation is the phenomenon of "superposition" in QFT, and he also endeavors to show that the "particle" intepretation of QFT is at equal level with the "field" theoretic one. He believes that current views on QFT get the particle aspect wrong, nor show how the particle and field aspects fit together. It is the particle labeling he says, that causes problems, and his solution is via the Fock space formalism, which avoids what he calls the "surplus structure" of conventional quantum mechanics, and which avoids the temptation to ascribe properties to particles. Instead he uses a conception of "quanta", which gives information only on what patterns of properties are exhibited. The Fock space basis states, and consequently the operators are indexed by space-time points, entailing naturally an interpretation of the theory in terms of fields. However, the notion of "operator-valued fields" that is typically expoused by practioners is criticized by the author and he lays out a different interpretation (but again using the Fock formalism), using as examples coherent states and vacuum fluctuations. He recognizes, quite correctly, that an interpretation as a quantum field takes place in a loose analogical relation to classical physics. No treatment of quantum field theory could be complete without including a discussion of renormalization. The author does not really add anything new in his discussion, as a reader can gain essentially the same content and insight (and more) in currrent papers, preprints, monographs, and textbooks on the subject. The use of cut-offs and dimensional regularization are briefly discussed, but no new insights are given into them. His solution to the problem of renormalization is what he calls a "mask-of-ignorance" approach, in which he asserts that a correct quantum field theory will be completely free of infinities. The correct theory is unknown, but this does not matter as long as attention is restricted to expressions that are independent of the cutoff and the regularization scheme. This has been said many times already though, by many different researchers and expositors of quantum field theory. A quantum field theory free from divergences has yet to be found, but another approach to the problem of infinities has taken over, that one going by the name of string theory.
a stepping stone, not a place to stop Five facts about QFT were brought home to me by Teller's book. (1) QFT is a metatheory, not a theory. It doesn't become a theory untilcritical parts are filled in by an actual model such as the Standard Modelof particle physics.Teller gives no clue about how this works. (2) QFT isincomplete in many ways beyond its absence of gravity. (3) QFT isinconsistent, giving different answers to the same problem depending onwhat methods you use to solve it.Choosing the correct method is a keytalent physicists must acquire.(4) QFT is sometimes very sound, givingextraordinarily accurate answers.These problems are all captured byobserving that (5) QFT (at least as presented by Teller) is not rigorous;it's a toolkit of formalisms and techniques that have been developed with aperspective much more like engineering than like mathematics. Teller'starget audience is physicists who are able to treat nonrelativistic quantummechanics and its interpretive problems as uninteresting background, andwho want to know a little bit about some of the additonal interpretiveissues that caused trouble during the development of QFT.If you want toknow how those issues relate to the classic problems of philosophy, youneed to go elsewhere.Auyang is a good place to start, providingsignificantly more sophistication in both philosophy and mathematics.
Paperbound edition recommended for those new to the subject |
74. Fundamentals of Acoustic Field Theory and Space-Time Signal Processing by Lawrence Ziomek | |
Hardcover: 720
Pages
(1994-12-28)
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75. Introduction to Statistical Field Theory by Edouard Brézin | |
Hardcover: 176
Pages
(2010-09-06)
list price: US$69.00 -- used & new: US$55.20 (price subject to change: see help) Asin: 0521193036 Canada | United Kingdom | Germany | France | Japan | |
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76. Quantum Field Theory: A Modern Perspective (Graduate Texts in Contemporary Physics) by V. P. Nair | |
Paperback: 556
Pages
(2010-11-02)
list price: US$109.00 -- used & new: US$109.00 (price subject to change: see help) Asin: 1441919465 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Quantum field theory, which started with Paul Dirac’s work shortly after the discovery of quantum mechanics, has produced an impressive and important array of results. Quantum electrodynamics, with its extremely accurate and well-tested predictions, and the standard model of electroweak and chromodynamic (nuclear) forces are examples of successful theories. Field theory has also been applied to a variety of phenomena in condensed matter physics, including superconductivity, superfluidity and the quantum Hall effect. The concept of the renormalization group has given us a new perspective on field theory in general and on critical phenomena in particular. At this stage, a strong case can be made that quantum field theory is the mathematical and intellectual framework for describing and understanding all physical phenomena, except possibly for a quantum theory of gravity. Quantum Field Theory: A Modern Perspective presents Professor Nair’s view of certain topics in field theory loosely knit together as it grew out of courses on field theory and particle physics taught at Columbia University and the City College of CUNY. The first few chapters, up to Chapter 12, contain material that generally goes into any course on quantum field theory, although there are a few nuances of presentation which readers may find to be different from other books. This first part of the book can be used for a general course on field theory, omitting, perhaps, the last three sections in Chapter 3, the last two in Chapter 8 and sections 6 and 7 in Chapter 10. The remaining chapters cover some of the more modern developments over the last three decades, involving topological and geometrical features. The introduction given to the mathematical basis of this part of the discussion is necessarily brief and should be accompanied by books on the relevant mathematical topics as indicated in the bibliography. Professor Nair also concentrates on developments pertinent to a better understanding of the standard model. There is no discussion of supersymmetry, supergravity, developments in field theory inspired by string theory, etc. There is also no detailed discussion of the renormalization group. Each of these topics would require a book in its own right to do justice to the topic. Quantum Field Theory: A Modern Perspective serves as a portal to so many more topics of detailed and ongoing research, referring readers to more detailed treatments for many specific topics. The book also contains extensive references, providing readers a more comprehensive perspective on the literature and the historical development of the subject. V. Parameswaran Nair is Professor of Physics at City College of The City University of New York (CUNY). Professor Nair has held Visiting Professorships at The Abdus Salam International Center for Theoretical Physics, Rockefeller University, Institute for Advanced Study at Princeton, and Massachusetts Institute of Technology. |
77. Basic Principles of Ligand Field Theory by Hans L. Schlafer, Gunter Gliemann | |
Hardcover: 550
Pages
(1969-01-01)
list price: US$40.00 Isbn: 0471761001 Canada | United Kingdom | Germany | France | Japan | |
78. Dynamical Theory of Crystal Lattices (Oxford Classic Texts in the Physical Sciences) by Max Born, Kun Huang | |
Paperback: 432
Pages
(1998-11-05)
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THE ORIGIN OF THE BORN-OPPENHEIMER APPROACH |
79. A Dynamical Theory of the Electromagnetic Field by James C. Maxwell, Thomas F. Torrance, James Clerk Maxwell | |
Paperback: 116
Pages
(1996-03-01)
list price: US$15.00 -- used & new: US$12.47 (price subject to change: see help) Asin: 1579100155 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (3)
Dynamic Theory of Electromagnetic Field
FACT: Maxwell Plus Einstein!
Maxwell's Theory and Equations Maxwell's equations are of course the entire basis of modern electromagnetic theory. It is much easier to view these ideas here, in this brief form, than to wade through the 1873 and later editions of Maxwell's mammoth "Treatise on Electricity and Magnetism". The primary benefit of this small volume is the easy access to this paper. One would otherwise have to go for a collection of Maxwell's papers, which would be somewhat more expensive. The preface to the volume is a useful addition to the work. However, the Introduction by Thomas F. Torrance is a bit over the top. It also introduces a bit of a Theological `spin' to the material, which is not surprising when you see how many Theological/Religious texts this fellow is involved with. Take or leave this 27 page introduction as you wish. The fact remains that you still get Maxwell, which is why you wanted the book in the first place! ... Read more |
80. Police Field Operations: Theory Meets Practice by Michael Birzer, Cliff Roberson | |
Hardcover: 624
Pages
(2007-09-16)
list price: US$105.20 -- used & new: US$73.74 (price subject to change: see help) Asin: 0205508286 Canada | United Kingdom | Germany | France | Japan | |
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