PDF Ebook Superstring Theory: 2 (Cambridge Monographs on Mathematical Physics), by Michael B. Green, John H. Schwarz, Edward Witten
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Superstring Theory: 2 (Cambridge Monographs on Mathematical Physics), by Michael B. Green, John H. Schwarz, Edward Witten
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Twenty-five years ago, Michael Green, John Schwarz, and Edward Witten wrote two volumes on string theory. Published during a period of rapid progress in this subject, these volumes were highly influential for a generation of students and researchers. Despite the immense progress that has been made in the field since then, the systematic exposition of the foundations of superstring theory presented in these volumes is just as relevant today as when first published. Volume 2 is concerned with the evaluation of one-loop amplitudes, the study of anomalies and phenomenology. It examines the low energy effective field theory analysis of anomalies, the emergence of the gauge groups E8 x E8 and SO(32) and the four-dimensional physics that arises by compactification of six extra dimensions. Featuring a new Preface setting the work in context in light of recent advances, this book is invaluable for graduate students and researchers in high energy physics and astrophysics, as well as mathematicians.
- Sales Rank: #179832 in eBooks
- Published on: 2012-07-26
- Released on: 2013-06-26
- Format: Kindle eBook
Review
"...a useful reference." Donald Marolf, University of California Santa Barbara, American Journal of Physics
"This is clearly the book on string theory." American Mathematical Monthly
About the Author
Michael B. Green is the Lucasian Professor of Mathematics at the University of Cambridge.
John H. Schwarz is the Harold Brown Professor of Theoretical Physics at the California Institute of Technology.
Edward Witten is the Charles Simonyi Professor of Mathematical Physics at the Institute for Advanced Study, Princeton.
Most helpful customer reviews
2 of 2 people found the following review helpful.
Extensive coverage of phenomenology
By Dean Welch
Volume I of "Superstring theory" presented the fundamentals of string theory. This book builds on those fundamentals and explores the possible observable consequences of string theory. The subtitle "Loop amplitudes, anomalies and phenomenology" provides a good high level view of the content.
While the first volume demonstrated that string theory gives general relativity in the low energy limit, this volume explores some of the possible string theory implications in particle physics and how six of ten dimensions get compactified leaving the familiar four spacetime dimensions.
The first two chapters cover one-loop diagrams in bosonic and superstring theories. The tone is similar to the tree level scattering amplitudes calculations done in volume I. The amplitudes are calculated for both open and closed strings (which of course must be included when you have open strings that interact), the important concepts of moduli space and orbifolds are introduced here. Among the interesting results for the bosonic string are an additional argument for D = 26 and the appearance of an ultraviolet cutoff for the cosmological constant.
Following this is a lucid discussion of anomaly cancellation in Type I theory and path integral methods. Anomaly cancellation in Type IIB theories is considered later in the book, the subject of anomalies reappears throughout the remainder of the book.
The phenomenology discussion starts by studying the low energy effective action. The supersymmetric gauge fields are examined for various string symmetry groups. The background in differential geometry needed to understand gauge theory, as expressed in the language of forms, is presented in an earlier chapter. The gauge fields that arise from compactification are treated in the next chapter, along with anomaly cancellation in four dimensions.
This is followed by a very good, albeit brief, chapter on algebraic geometry. This is obviously not a comprehensive introduction, it sticks to the aspects that are relevant for string theory, for example Calabi-Yau spaces and Hodge numbers. The final chapter uses this mathematical machinery to explore the consequences of geometry of the compactified space may have for particle physics in our four spacetime dimensions.
In my opinion this book holds up even better than volume I, no small feat, especially the latter parts of it. I think anyone specializing in string theory should still consider this required reading. If their emphasis is on string theory as a grand unified theory, or other implications of the low energy limits of string theory, then there's likely little doubt this is required reading.
2 of 3 people found the following review helpful.
A legendary text, and still the definitive
By Manjul Apratim
This is the quintessential text for anyone who wishes to learn anything about String Theory. It is approachable right after one has some background in Gauge Field Theories and General Relativity (not because of the Mathematical level, but because many of the ideas applied there resurface in String Theory and it is difficult to understand why unless one is familiar with them at the more basic level); it is extremely well written, and was the first text of its kind. It does not follow the language of Conformal Field Theory per se, which was developed as a subject after this text was written, but this is in fact a positive aspect, since every calculation is reasoned out from a physical perspective and the ideas of quantum field theory, and not merely shoved into the framework of an existing language. The chapters on compactification are the best there are, and though the modern techniques in the subject have slightly changed, it would be quite an ordeal if one were to try to learn String Theory from not this text but some other, for none of the more recent texts I have seen match up even closely to this one. Herein ideas seem to lucidly flow, making a technically advanced subject appear a logical extension of existing knowledge.
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