Causality rules : a light treatise on dispersion relations and sum rules / Vladimir Pascalutsa.Material type: TextSeries: IOP (Series). Release 5. | IOP concise physicsPublisher: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, Distributor: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, Description: 1 online resource (various pagings) : illustrations (some color)Content type: text Media type: electronic Carrier type: online resourceISBN: 9781681749198; 9781681749174Other title: Light treatise on dispersion relations and sum rulesSubject(s): Light -- Scattering | Physics | SCIENCE / Physics / GeneralAdditional physical formats: Print version:: No titleDDC classification: 535/.43 LOC classification: QC427.4 | .P373 2018ebOnline resources: Click here to access online Also available in print.
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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 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.
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.
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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).