Causality rules : a light treatise on dispersion relations and sum rules /

Scattering of light by light is a fundamental process arising at the quantum level through vacuum fluctuations. This short book will explain how, remarkably enough, this quantum process can entirely be described in terms of classical quantities. This description is derived from general principles, s...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pascalutsa, Vladimir (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018]
Colección:IOP (Series). Release 5.
IOP concise physics.
Temas:
Light > Scattering.
Physics.
SCIENCE / Physics / General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction and outline
  • 2. Some rules for sum rules
  • 2.1. Causality and analyticity
  • 2.2. Derivation of dispersion relation
  • 2.3. Crossing symmetry
  • 2.4. Unitarity
  • 2.5. Low-energy theorems
  • 2.6. Divergencies, subtractions and renormalization
  • 2.7. An approximate sum rule for the proton charge
  • 3. Kramers-Kronig relation
  • 3.1. Refraction in relativistic medium
  • 3.2. The low-frequency limit : Lorentz-Lorenz relation
  • 3.3. CMB refraction index
  • 4. Sum rules for Compton scattering
  • 4.1. Forward kinematics : helicity amplitudes for any spin
  • 4.2. Optical theorem : dispersion relation
  • 4.3. Low-energy expansion and sum rules
  • 4.4. Empirical evaluations for the nucleon
  • 5. Virtual and quasi-real Compton scattering
  • 5.1. VVCS and structure functions
  • 5.2. Elastic versus Born contributions
  • 5.3. The Burkhardt-Cottingham sum rule
  • 5.4. The Schwinger sum rule
  • 5.5. Further spin-dependent relations
  • 5.6. Spin-independent relations
  • 6. Sum rules for light-by-light scattering
  • 6.1. Compton scattering off a photon?
  • 6.2. Symmetries, unitarity and dispersion relations
  • 6.3. Effective field theorems
  • 6.4. The sum rules
  • 6.5. Perturbative verification
  • 6.6. Non-perturbative verification : bound state
  • 6.7. Implications for mesons
  • 6.8. Composite Higgs
  • 7. Sum rules for vector bosons
  • 7.1. Electromagnetic moments : natural values
  • 7.2. Gauge symmetries and spin degrees of freedom
  • 7.3. Tree-level unitarity : GDH sum rule
  • 7.4. Forward VVCS and virtual LbL scattering.

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