Superstring theory. Volume 2, Loop amplitudes, anomalies and phenomenology / Michael B. Green, John H. Schwarz, Edward Witten.

Format:

Book

Author/Creator:

Green, M. (Michael B.), author.

Schwarz, John H., author.

Witten, E., author.

Series:

Cambridge monographs on mathematical physics.

Cambridge monographs on mathematical physics

Language:

English

Subjects (All):

Superstring theories.

Physical Description:

1 online resource (x, 596 pages) : digital, PDF file(s).

Edition:

25th Anniversary edition.

Place of Publication:

Cambridge : Cambridge University Press, 2012.

Language Note:

English

Summary:

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.

Contents:

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

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-316-09029-9

1-139-53121-2

1-139-52654-5

1-139-52893-9

1-139-53240-5

1-139-24857-X

1-283-81230-4

1-139-52774-6

OCLC:

819610728