Lectures on the Infrared Structure of Gravity and Gauge Theory.

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A short, graduate-level synthesis of recent developments in theoretical physics, from a pioneer in the fieldLectures on the Infrared Structure of Gravity and Gauge Theory presents an accessible, graduate-level synthesis of a frontier research area in theoretical physics. Based on a popular Harvard U...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Strominger, Andrew
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2018.
Temas:
Mathematical physics.
Physique mathématique.
SCIENCE > Physics > Astrophysics.
Mathematical physics
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 Liénard-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.

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