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'The publication of this new two-volume text has … been eagerly awaited … Both volumes of Superstring Theory are likely to remain standard reference works for years to come; certainly, there is no serious rival at present.' Nature
Kurzbeschreibung
In recent years, superstring theory has emerged as a promising approach to reconciling general relativity with quantum mechanics and unifying the fundamental interactions. Problems that have seemed insuperable in previous approaches take on a totally new character in the context of superstring theory, and some of them have been overcome. Interest in the subject has greatly increased following a succession of exciting recent developments. This two-volume book attempts to meet the need for a systematic exposition of superstring theory and its applications accessible to as wide an audience as possible.
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Einleitungssatz
Our discussions of string scattering amplitudes in the first volume of this book were limited to tree diagrams. Lesen Sie die erste Seite
Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis | Rückseite
Our discussions of string scattering amplitudes in the first volume of this book were limited to tree diagrams. Lesen Sie die erste Seite
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Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis | Rückseite
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Die hilfreichsten Kundenrezensionen
2 von 2 Kunden fanden die folgende Rezension hilfreich
Format:Taschenbuch
As with vol I of this set of two, the material here is somewhat dated. However, while there is more to the story then is presented in this text, this text still serves an essential purpose. For example, vol II contains detailed exposition concerning anomalie cancellation and calculation of one (and higher) -loop amplitudes, which is a subject crucial to many recent developments in string theory. Similarly, this volume's expositions on compatification (orbifold, Calabi-Yau, and so forth) and lower dimensional effects will prove both instructive / illuminating for readers wishing to begin similar investigations, or who seek to augment other sources in the literature.
Again, a compelling reason for reading this text is the insights these particular authors provide. For example, the volume's discussions of physical implications from differential / algebraic geometry are more then enough reason to purchase the text.
Die hilfreichsten Kundenrezensionen auf Amazon.com (beta)
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1 von 1 Kunden fanden die folgende Rezension hilfreich
Extensive coverage of phenomenology
27. März 2006
Format:Taschenbuch
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.
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.
1 von 2 Kunden fanden die folgende Rezension hilfreich
A legendary text, and still the definitive
1. März 2008
Format:Taschenbuch|Von Amazon bestätigter Kauf
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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