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Superstring theory. Volume 2, Loop amplitudes, anomalies and phenomenology
להגדלת הטקסט להקטנת הטקסט- ספר
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.
| כותר |
Superstring theory. Volume 2, Loop amplitudes, anomalies and phenomenology / Michael B. Green, John H. Schwarz, Edward Witten. [electronic resource] |
|---|---|
| מהדורה |
25th Anniversary edition. |
| מוציא לאור |
Cambridge : Cambridge University Press |
| שנה |
2012 |
| הערות |
Title from publisher's bibliographic system (viewed on 05 Oct 2015). Includes bibliographical references and index. English |
| הערת תוכן ותקציר |
Cover Superstring Theory: Volume 2: Loop Amplitudes, Anomalies and Phenomenology 25th Anniversary Edition Dedication Title Copyright Contents Preface to the 25th Anniversary Edition 8. One-Loop Diagrams in the Bosonic String Theory 8.1 Open-String One-Loop Amplitudes 8.1.1 The Planar Diagrams 8.1.2 The Nonorientable Diagrams 8.1.3 Nonplanar Loop Diagrams 8.2 Closed-String One-Loop Amplitudes 8.2.1 The Torus 8.2.2 Modular Invariance 8.2.3 The Integration Region 8.2.4 Analysis of Divergences 8.2.5 The Cosmological Constant 8.2.6 Amplitudes with Closed-String Massless States 8.3 Other Diagrams for Unoriented Strings8.3.1 Higher-Order Tree Diagrams 8.3.2 The Real Projective Plane 8.3.3 Other Loop Diagrams 8.4 Summary Appendix 8.A Jacobi Θ Functions 9. One-Loop Diagrams in Superstring Theory 9.1 Open-Superstring Amplitudes 9.1.1 Amplitudes with M < 4 Massless External States 9.1.2 The Planar Diagrams 9.1.3 Nonorientable Diagrams 9.1.4 Orientable Nonplanar Diagrams 9.2 Type II Theories 9.2.1 Finiteness of the Torus Amplitude 9.2.2 Compactification on a Torus 9.2.3 The Low-Energy Limit of One-Loop Amplitudes 9.3 The Heterotic String Theory 9.3.1 The Torus with Four External Particles9.3.2 Modular Invariance of the E% x Es and 50(32) Theories 9.4 Calculations in the RNS Formalism 9.4.1 Modular Invariance and the GSO Projection 9.4.2 The Loop Calculations 9.5 Orbifolds and Twisted Strings 9.5.1 Generalization of the GSO Projection 9.5.2 Strings on Orbifolds 9.5.3 Twisted Strings in Ten Dimensions 9.5.4 Alternative View Of The SO(16) x SO(16) Theory 9.6 Summary Appendix 9.A Traces of Fermionic Zero Modes Appendix 9.B Modular Invariance of the Functions F2 and C 10. The Gauge Anomaly in Type I Superstring Theory 10.1 Introduction to Anomalies10.1.1 Anomalies in Point-Particle Field Theory 10.1.2 The Gauge Anomaly in D = 10 Super Yang-Mills Theory 10.1.3 Anomalies in Superstring Theory 10.2 Analysis of Hexagon Diagrams 10.2.1 The Planar Diagram Anomaly 10.2.2 The Anomaly in the Nonorientable Diagram 10.2.3 Absence of Anomalies in Nonplanar Diagrams 10.3 Other One-Loop Anomalies in Superstring Theory 10.4 Cancellation of Divergences for 50(32) 10.4.1 Dilaton Tadpoles and Loop Divergences 10.4.2 Divergence Cancellations 10.5 Summary Appendix 10.A An Alternative Regulator 11. Functional Methods in the Light-Cone Gauge11.1 The String Path Integral 11.1.1 The Analog Model 11.1.2 The Free String Propagator 11.1.3 A Lattice Cutoff 11.1.4 The Continuum Limit 11.2 Amplitude Calculations 11.2.1 Interaction Vertices 11.2.2 Parametrization of Scattering Processes 11.2.3 Evaluation of the Functional Integral 11.2.4 Amplitudes with External Ground States 11.3 Open-String Tree Amplitudes 11.3.1 The Conformal Mapping 11.3.2 Evaluation of Amplitudes 11.4 Open-String Trees with Excited External States 11.4.1 The Green Function on an Infinite Strip 11.4.2 Green Functions for Arbitrary Tree Amplitudes |
| סדרה |
Cambridge monographs on mathematical physics |
| היקף החומר |
1 online resource (x, 596 pages) : digital, PDF file(s). |
| שפה |
אנגלית |
| מספר מערכת |
997010707356905171 |
תצוגת MARC
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