White C. The Classical Double Copy.New Connections in Gauge Theory..Gravity 2024

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White C. The Classical Double Copy.New Connections in Gauge Theory..Gravity 2024

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Textbook in PDF format Preface About the Author Introduction The Current State of Fundamental Physics The Ideas of QFT The Problem with Gravity The Double Copy The Theories of Fundamental Physics 4-Vectors and Tensors Electromagnetism Covariant formulation Electromagnetism as a gauge theory QCD and Yang–Mills Theory Lie groups and Lie algebras Gluon field equation General Relativity The mathematics of curvature The Einstein equations The Double Copy for Scattering Amplitudes Scattering Amplitudes Amplitudes in Yang–Mills Theory BCJ Duality Gravity Amplitudes and the Double Copy String Theory and the KLT Relations Biadjoint Scalar Theory and the Zeroth Copy The Classical Double Copy: A First Look Kerr–Schild Solutions in GR The Kerr–Schild Double Copy Examples The Schwarzschild black hole The Kerr black hole (Anti-)de Sitter space Beyond Single Kerr–Schild Solutions Double Kerr–Schild solutions Non-stationary solutions The Kerr–Schild Double Copy in Curved Space Exact Classical Double Copies The Spinorial Formalism Spinors and their geometry Tensors as spinors Spinor Fields The Petrov Classification The Weyl Double Copy The Twistor Double Copy Null planes Twistors and dual twistors The Penrose transform The Weyl double copy from twistor space How well defined is the twistor double copy? Equivalence of the Kerr–Schild and Weyl Double Copies Sources in the Weyl Double Copy The Convolutional Double Copy Towards a Non-Perturbative Double Copy Kinematic Algebras Exact Solutions of Biadjoint Scalar Field Theory The Web of Double-Copiable Theories Actions and Lagrangians The non-linear sigma model (Dirac–)Born–Infeld theory (Special) Galileon theory owards the double-copy web Perturbative Classical Solutions Fields from Feynman Rules The Double Copy for Perturbative Fields Gravitational Waves from Binary Systems The Double Copy Applied to Gravitational Waves Worldline quantum field theory The KMOC formalism Eikonal and related methods Outlook Bibliography Index