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

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"Version: 20180701"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.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 charge3. Kramers-Kronig relation -- 3.1. Refraction in relativistic medium -- 3.2. The low-frequency limit : Lorentz-Lorenz relation -- 3.3. CMB refraction index4. 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 nucleon5. 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 relations6. 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 Higgs7. 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.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, such as causality, unitarity, Lorentz, and gauge symmetries. The reader will be introduced to a rigorous formulation of these fundamental concepts, as well as their physical interpretation and applications.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Vladimir Pascalutsa is a tenured scientist at the Institute for Nuclear Physics of the Johannes Gutenberg University of Mainz, Germany. Prior to this, he studied and researched at the Kiev State University and Kernfysisch Versneller Instituut (KVI), before obtaining his PHD at the Institute for Theoretical Physics in Utrecht. He also held postdoctoral positions at NIKHEF (Amsterdam, the Netherlands), Flinders University (Adelaide, Australia), Ohio University (Athens OH, USA), College of William and Mary (Williamsburg VA, USA), and the ECT (Trento, Italy).Title from PDF title page (viewed on August 8, 2018).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781681749198

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535/.43

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Subject(s)

SCIENCE / Physics / General.
Physics.
Light

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Vladimir Pascalutsa.

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