Quantum Field Theory and Condensed Matter: An Introduction (Cambridge Monographs on Mathematical Physics) 1st Edition by Ramamurti Shankar | (PDF) Free Download

Description

Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm–Pines and Chern–Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.

User’s Reviews

Editorial Reviews: Review ‘The study of minimally complicated models is … central to the field of condensed-matter physics. Those models, and the tools needed to understand them, are the subject of Ramamurti Shankar’s new book, Quantum Field Theory and Condensed Matter: An Introduction. What is different about Shankar’s text? For one thing, it is shorter [than his competitors]. Accordingly, Shankar’s book is less ambitious in its aim and more selective in its content. That makes it both a more introductory text and a friendlier read. It will be a good textbook for a one-semester first-year graduate course.’ Mike Stone, Physics Today'[The book] provides a broad review of many different techniques and models used daily in the theoretical condensed matter community. The presentation is done in a quite individual and elegant way … the book can be used self-consistently as a source for an advanced statistical mechanics course at the master degree level … Shankar covers a wide variety of models ranging from the celebrated classical two-dimensional Ising model … to the XY model and Zq gauge theories, and finally to models developed for the quantum Hall effect such as the Bohm–Pines or Chern–Simons theories. In the middle of the book, there are six chapters giving an extensive survey on the renormalization group theory (a book within a book, as Daniel Arovas wrote) and two self-contained chapters dealing with bosonization. Again, here, these chapters may be used self-consistently in order to teach the material.’ Acta Crystallographica Section A: Foundations Advances’Since the Nobel Prize-winning work of Ken Wilson in the 1970s, quantum field theory has been a fundamental tool in condensed matter theory … Shankar presents more than enough material for a one- or two-semester course, and the book could be used to teach at a variety of levels. There is a substantial amount of classic material: the Ising model and critical phenomena, the relation of the Feynman path integral to statistical mechanics, and the renormalization group. The text ventures beyond these, with treatments of coherent state path integrals, gauge theories, duality, and bosonization. Topics of great modern importance include Majorana fermions and the quantum Hall effect. It is notable that both the Lagrangian and Hamiltonian forms of lattice models are treated. This clear, authoritative text should be available at any institution where modern condensed matter physics is studied.’ M. C. Ogilvie, Choice’… the first few chapters are about techniques one has to learn before learning the real techniques. The book starts with a review of Thermodynamics and Statistical Mechanics. The Ising model is discussed next. … [Other] topics covered are Statistical to Quantum Mechanics … Quantum to Statistical Mechanics … Feynman Path Integral, Coherent State Path Integrals, Two dimensional Ising model and its exact solution and Majorana Fermions. Further Gauge Theories, The Renormalization Group and Critical Phenomena, different views of Renormalization, Bosonization and Duality and Triality are described. The final Chapter covers Techniques for Quantum Hall Effect. Each chapter ends with a list of references for further reading. Overall, a very useful book for researchers.’ T. C. Mohan, zbMATH’The next best analogy to relativistic quantum field theory is the concept of quasi-particles like phonons, excitons, plasmons and the like which emerge in solid state physics. … Shankar’s book goes much deeper than this simple analogy. It examines topics like Majorana fermions, gauge theory, the renormalization group equation, bosonization and triviality. These topics are well known to anybody familiar with the relativistic version of quantum field theory. They … [also] play a role … in condensed matter physics, as the author skillfully explains, touching hereby standard themes of solid state physics like superconductivity, the Ising and Hubbard model and the Hall effect … Every chapter is accompanied by a brief introduction … This is interlaced with remarks on personal experiences of the author. … [the] personal style … is a pedagogical highlight. … The book is perfect …’ Marek Nowakowski, Mathematical Reviews Book Description This book provides a review of the application of quantum field theory to condensed matter systems, introducing important techniques in condensed matter theory. About the Author Ramamurti Shankar is the John Randolph Huffman Professor of Physics at Yale University, Connecticut, with a research focus in theoretical condensed matter physics. He has held positions at the Aspen Center for Physics, the American Physical Society and the American Academy of Arts and Sciences. He has also been a Visiting Professor at several universities including Massachusetts Institute of Technology, Princeton University, New Jersey, University of California, Berkeley and Indian Institute of Technology, Madras. Recipient of both the Harwood Byrnes and Richard Sewell Teaching Prize at Yale University (2005) and the Julius Edgar Lilienfeld Prize of the American Physical Society (2009), he has also authored several books: Principles of Quantum Mechanics (1994), Basic Training in Mathematics (2008), and Fundamentals of Physics Volume I and Volume II (2014 and 2016). Read more

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

⭐Shankar has brought yet another great book to the physics community. This book contains many models/topics that will expose the reader to many techniques used in condensed matter theory. The topics range from the Ising model, Majorana fermions, the renormalization group, and the quantum hall effect. The book has “Quantum Field Theory” in the title, and I think the reader should ideally have taken quantum field theory before trying to tackle this book. A reader who has the typical first year physics grad courses under the belt could probably still take away a lot by reading this book, but I think having exposure to the first semester of quantum field theory first will let the reader appreciate the insights offered by the book a bit more. I suppose the converse is true as well, but only to a strong beginning graduate physics student. Reading this book will help someone who never took QFT appreciate the framework QFT offers once/if he or she decides to take it. Personally, I learned aspects of field theory in a phase transitions course before I ever took a quantum field theory course, so I could see someone reading this before taking a QFT course. It will probably be more difficult than it needs to be, though. It will just be much easier to read this book and the concepts covered will appear more motivated/systematic if you have taken the first semester of QFT.In short, I think it is best to read this after you have learned the framework of QFT. I think it is best to read this book to see QFT techniques applied in condensed matter. Reading it to learn QFT and condensed matter theory simultaneously will only work for very studious and well prepared readers.Regardless, the book has many nice topics to help you add tricks to your physics toolbox. Worth a read if you are planning to go into this field of study.

⭐I found the book well suited as a self learning tool.Prof. Shankar presents the material in a stimulating fashion.I am finding it difficult to follow the material because he switches back and forth between topics too much. I’ve had (because of my own limitations) to refer to Pathria’s excellent Statistical Mechanics book as I cover thefirst Chapters of the book.I expect I will depend on additional references to supplement the Condensed Matter Chapters.

⭐This is not the most comprehensive book on the market, but fortunately the chapters selected is not commonly found on other textbooks. The author does an fantastic job in delivering the materials selected.Even if you are already familiar with all the topics, you will likely still come across some cute and neat derivations and explanations. For newcomers, the exposition is very clear and heuristic. The author knows the exact amount of math to include, and it is very satisfying to complete the details.

⭐The pedagogy is a bit different from previous works, but it’s wonderfully supportive when combined with other relevant books.

⭐This is an incredibly good book.As a budding physicist, I absolutely find this book accessible without sacrificing rigor nor clarity.

⭐It’s the book, but an Indian copy. Wtf? Stop charging for a product that costs 3$ to make in India. Disgusting.

⭐******************Update:. I changed my review from 3 stars to 5! This book is FABULOUS!!! I find myself constantly flipping back to it while working through other condensed matter texts (atland/Simons, Fradkin, and various papers). I find that anytime I’m confused from another source I can re-open Shankar and crystallize my understanding.This is definitely NOT a book that introduces one to condensed matter….it is a book that goes into how QFT APPLIES to condensed matterThe best thing I can say is that if you want to understand ising, renormalization, and bosonization then GET THIS TEXT (BUT study it along with more phenomenological condensed matter texts)*********************Caveat: im working through the international/paper back edition which is about 15 pages shorter (and 35$ cheaper!). Im not sure what is different between the 2 editions exactlyIn my opinion this is a weird book. Shankar is most excellent but he REALLY makes you work through this book expressions and ideas just appear out of nowhere without any explanation so you have to be a kind of mind reader.Ive found that this is an EXCELLENT companion to the latter part of pathria’s stat mech book which gets into the firm details shankar is missing.I wouldnt call this an introduction….it seems to be good as an overview type book but if youre willing to work hard then it is worth it. In my opinion an introduction type texts offers a lot of motivation and clear exposition as to where things come from and why things are the way they are.The exercises are appropriate and vary in difficulty. Most of them are “fill in the steps” type….but even if you do all the exercises there are still holes to be filled by consulting references and other textsIn my opinion this book is missing some depth (apropos motivation/phenomenology). Maybe 150 more pages wouldve worked better and perhaps he fixes some things in the 2nd edition in the future.

⭐Well, I really hate to be doing this. I really liked Shankars quantum mechanics textbook but this book is really just awful… Perhaps this is because I didn’t have much of a statistical mechanics background going in, but the book should have explicitly stated that it is a prerequisite. I do have a good background in QED including the renormalization group though.My problem with this book is Shankar doesn’t explain the Ising model really at all. He just sorts of shoots out equations with very little text. The problems provided are completely useless. They are basically computations that he was too lazy to write down himself. There are numerous typos throughout the book, as well as some mathematical handwaving (For example Shankar states that the product of the transfer matrix with itself gives a number.)My advice: If you want to learn statistical field theory, get yourself Kardars marvelous textbook, which although is very hardcore and terse, he explains things with absurd clarity!

⭐The book I received was not a genuine copy, it is printed in big font on the back cover that this book is not allowed to be sold outside South Asia, and I bought it in Switzerland. Don’t know what dodgy transaction I was this.

⭐Extremely well written book. This book is bit concise for the title yet it covers a lot of stuff…starting from path integrals in Quantum mechanics and gradually builds up the foundation stone for field theory and explains well about renormalization..GO for it

⭐Nice

⭐Very bad page quality.Why charging so much if good page quality is not provided!!!!Also very bad packaging. The book was half mold inside the package.

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