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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Strominger, Andrew. Lectures on the Infrared Structure of Gravity and Gauge Theory. Princeton : Princeton University Press, ©2018 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Andrew Strominger |

ISBN: | 9781400889853 1400889855 |

OCLC Number: | 1024285717 |

Description: | 1 online resource (199 pages) |

Contents: | Cover; Title; Copyright; Dedication; Contents; Preface; 1. Introduction; 1.1 The Infrared Triangle; 1.2 New Developments; 1.3 Echoing Triangles; 1.3.1 QED, Yang-Mills Theory, Gravity, Massless Particles, . . .; 1.3.2 Leading, Subleading, Sub-Subleading, . . .; 1.3.3 Double Soft Theorems, . . .; 1.3.4 Classical, quantum, . . .; 1.3.5 Minkowski, D 4, Cosmology, . . .; 1.3.6 Supersymmetry, N = 1, 2, . . .; 1.4 Motivation and Applications; 1.4.1 Connecting Disparate Subjects; 1.4.2 Flat Space Holography; 1.4.3 The Gauge Theory S-Matrix; 1.4.4 Miracles in N = 4 Yang-Mills. 1.4.5 Black Holes2. QED; 2.1 LiÃ©nard-Wiechert Solution; 2.2 Minkowski Space Penrose Diagram; 2.3 Antipodal Matching Condition; 2.4 Asymptotic Expansions; 2.5 An Infinity of Conserved Charges; 2.6 Canonical Electrodynamics at I; 2.6.1 Symplectic Form; 2.6.2 Commutators; 2.7 Large Gauge Symmetry; 2.8 Ward Identity; 2.8.1 Symmetries of the S-Matrix; 2.8.2 Mode Expansions; 2.8.3 Soft Theorems; 2.9 Feynman Diagrammatics; 2.9.1 Soft Photons; 2.9.2 Soft Gravitons; 2.10 Asymptotic Symmetries; 2.11 Spontaneous Symmetry Breaking, Vacuum Degeneracy, and Goldstone Bosons; 2.12 Massive QED. 2.12.1 Hyperbolic Slices2.12.2 Soft Theorem; 2.13 Magnetic Charges; 2.14 Supersymmetry; 2.14.1 Soft Photino Theorem; 2.14.2 Fermionic Conservation Laws; 2.14.3 N = 4, 8; 2.15 Infrared Divergences; 3. The S-Matrix as a Celestial Correlator; 4. Nonabelian Gauge Theory; 4.1 G-Kac-Moody Algebra; 4.2 Conserved Charges; 5. Gravity; 5.1 Asymptotically Flat Spacetimes; 5.2 Supertranslations; 5.2.1 BMS Analysis; 5.2.2 The Scattering Problem; 5.2.3 Conserved Charges; 5.3 Superrotations; 5.3.1 Conserved Charges; 5.3.2 Symmetries; 5.3.3 Canonical Formalism; 5.3.4 Subleading Soft Theorem. 6. The Memory Effect7. Black Holes; 7.1 The Information Paradox; 7.2 Soft Hair; 7.2.1 Classical Hair; 7.2.2 Horizon Charges; 7.2.3 Quantum Hair; 7.2.4 Electric Hair; 7.3 Discussion; Exercises with Prahar Mitra and Monica Pate; Solutions with Prahar Mitra and Monica Pate; References; Index. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

"Strominger is the main architect behind the recent revival of the study of asymptotic symmetries in gravity and gauge theory. Pedagogical and effective, his timely and exciting approach takes readers to the forefront of new developments."-Hirosi Ooguri, California Institute of Technology "This clear and concise book describes the infrared structure of gauge theories and gravity. It contains many new and interesting results. An invaluable reference, its solid scholarship will survive the test of time and make a significant contribution to the field."-Juan Maldacena, Institute for Advanced Study "In the 1950s, Feynman and others brilliantly solved the ultraviolet problems in electromagnetics by renormalization, but the infrared properties of gauge theory were felt to be trivial and were neglected. However, Strominger's book shows that they are a rich field that may well hold the resolution of the black hole information paradox."-Stephen Hawking, University of Cambridge and author of A Brief History of Time "The infrared behavior of gauge theories and gravity has been a source of fascination for more than fifty years. This book beautifully lays out exciting developments connecting this research with modern ideas in quantum gravity, leading to a unified understanding of classic results and a host of deep new discoveries. A must-read for all theorists working in fundamental physics."-Nima Arkani-Hamed, Institute for Advanced Study "Strominger is a master physicist and instructor. In this wonderful new book, he patiently and clearly takes the reader on a journey a half century in the making, laying the quantum mechanical foundations for gauge theories and gravity. Students and practitioners alike have a rare opportunity to be guided by a prime mover of modern physics whose pedagogical skills are second to none."-Brian Greene, Columbia University Read more...

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