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String Theory, Vol. 1 (Cambridge Monographs on Mathematical Physics), by Joseph Polchinski
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The two volumes that comprise String Theory provide an up-to-date, comprehensive account of string theory. Volume 1 provides a thorough introduction to the bosonic string, based on the Polyakov path integral and conformal field theory. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory, the Polyakov path integral, and the covariant quantization of the string. The book then treats string interactions: the general formalism, and detailed treatments of the tree level and one loop amplitudes. Toroidal compactification and many important aspects of string physics, such as T-duality and D-branes are also covered, as are higher-order amplitudes, including an analysis of their finiteness and unitarity, and various nonperturbative ideas. The volume closes with an appendix giving a short course on path integral methods, followed by annotated references, and a detailed glossary.
- Sales Rank: #869748 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2005-06-20
- Released on: 2005-06-20
- Original language: English
- Number of items: 1
- Dimensions: 9.72" h x .87" w x 6.85" l, 1.58 pounds
- Binding: Paperback
- 424 pages
- Used Book in Good Condition
Review
"...the most comprehensive text addressing the discoveries of the superstring revolutions of the early to mid 1990's, which mark the beginnings of 'modern' string theory."
Donald Marolf, University of California Santa Barbara, American Journal of Physics
"Physicists believe that the best hope for a fundamental theory of nature--including unification of quantum mechanics with general relativity and elementary particle theory--lies in string theory. This elegant mathematical physics subject is expounded by Joseph Polchinski in two volumes from Cambridge University Press...Written for advanced students and researchers, this set provides thorough and up-to-date knowledge."
American Scientist
"...this is an impressive book. It is notable for its consistent line of development and the clarity and insight with which topics are treated...It is hard to think of a better text in an advanced graduate area, and it is rare to have one written by a master of the subject. It is worth pointing out that the book also contains a collection of useful problems, a glossary, and an unusually complete index."
Physics Today
"We would like to stress the pedagogical value of the present book. The approach taken is modern and pleasantly systematic, and it covers a broad class of results in a unified language. A set of exercises at the end of each chapter complements the discussions in the main text. On the other hand, the introduction of techniques and concepts essential in the context of superstrings makes it a useful reference for researchers in the field."
Mathematical Reviews
"Polchinski's books are a classic textbook on string theory. And I recommend it to you if you want to start the study of string theory... the first volume is an excellent textbook and a great introduction to string theory. Presents some deep chapters, but overall a great book for any student interested in entering the world of string theory. The book is consistent with the objective set out, well written for graduate students and probably one of the best textbooks on the market about string theory and shall remain so for a long time. these two books are great and of excellent quality. The book is consistent with the goal set in the early chapters, presents clear language with few errors and with a high degree of mathematical rigor. The book contains an excellent range of problems and an excellent glossary and the educational value of this book is incalculable. Definitely these books are references for the study in string theory and it will stay with this position."
Philosophy, Religion and Science Book Reviews Blog
Most helpful customer reviews
49 of 51 people found the following review helpful.
very thorough and complete
By A Customer
Polochinski presents upto date developments (mostly in 2nd volume) in string theory such as D-branes and dualities that are not discussed in Green, Witten, Schwarz's Superstring theory text. However, I found GWS's arguments easier to follow because they were intuitively and physically motivated. Although Polchinski's books lack physical insights, he more than makes up for them by completeness of the material, mathematical rigor and helpful exercises. However, I highly recommend that you first get Di Francesco's conformal field theory and read chapters 3-7 , 10 and 12 to get a better feel for stuff like state-operator mappings, Virasoro algebra, OPE's, etc. Although Polchinski claims the books are pretty much self-contained, I would say QFT (probably around lvl of 1st vol. of Weinberg) and GR are min prereq and some knowledge of SUSY, rep. theory of Lie alg, alg. toplogy wouldn't hurt. Lastly, the first edition had many many typos but corrections are frequently updated and you can download them through a website whose address is given in the book (the address in the book has a typo and should read "ucsb").
27 of 30 people found the following review helpful.
Enlightening text on a murky topic
By Derek Lee
This book succeeds in what seems to be the impossible. It actually presents a clear, up to date, and entertaining version of a field that is still very much in a state of active research and is still, after all these years, on quite uncertain ground. By studying this, the reader who thinks intelligently about the material presented will be able to form his/her own opinions on this still somewhat controversial topic and will be able to converse intelligently with others who have opinions on the topic. I know that for me personally, this text opened up beautiful ideas which, to a large extent, are still unexplored. Before I read this book, my gut feelings about the topic were that it was rather dubious at best, but now that I understand (I think) the basic ideas of the field, I feel quite comfortable in it, indeed almost as if it is completely natural. What I think is one of the best things about this book is that it does not assume the pretense that string theory is on firm ground, that everything is quite certain and that string theory HAS to be the final theory of nature in all its glory. I find this attitude EXTREMELY pretensious and annoying. Instead, it simply covers what we know about string theory, and explains in detail just why it is consistent, and why it offers an explanation for what we see in nature. In short, it leaves just enough room for the imagination of an intelligent reader to philosophize as to the meaning of the theory and as to its ultimate place in nature
As for practical details, it seems to me that the reader should at the very least have a firm understanding of Quantum Field Theory (at least at the level of Weinberg's first volume, see my review on that modern masterpiece), and to a lesser extent of General Relativity, before even attempting to tackle this. I know that I myself, despite the fact that I have read several texts on QFT, had to reread several sizeable chunks of the book to fully digest it.
8 of 10 people found the following review helpful.
Very thorough and upto date
By A Customer
The two volumes introduce many important recent developments in string theory not covered in Green, Schwarz & Witten's Superstring text such as D-branes, dualities, etc. However, I found GSW's treatment of basic materials easier to follow because the authors try to explain things intuitively. Although many physical insight in Polchinski's book is sacrificed, it makes up for them through completeness and mathematical rigor. However, I highly recommend that you read Di Francesco et al's conformal field theory book (read chapters 3-7, 10 and 12-13) to get a better feel for stuff like operator state mapping, OPE's, Virasoro algebra, vertex operators, etc. Of course a good course in QFT, GR and some basic familiarity with SUSY, Rep. theory, & some algebraic topology are probably a prereq although Polchinski claims the book is pretty much self-contained. Lastly, the book suffers a little from numerous typos (atleast the 1st edition) but corrections are updated frequently on a ucsb website address.
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