Causality rules :dispersion theory in non-elementary particle physics /

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"Version: 20240401"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Some rules for sum rules -- 2.1. Causality and analyticity -- 2.2. Derivation of dispersion relations -- 2.3. Crossing symmetry -- 2.4. Unitarity -- 2.5. Low-energy theorems and sum rules -- 2.6. Relaxing the convergence condition -- 2.7. Divergencies, subtractions, and renormalization -- 2.8. An approximate sum rule for the proton charge3. The Kramers-Kronig relation -- 3.1. Refraction in a relativistic medium -- 3.2. The low-frequency limit : the 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 Compton scattering and quasi-real sum rules -- 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. Generalized Baldin sum rules -- 5.6. Longitudinal amplitude : to subtract or unsubtract? -- 5.7. The Bernab?eu-Tarrach sum rule -- 5.8. Validation in the parton model -- 5.9. Further spin-dependent 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. Virtual light-by-light scattering -- 7.1. Forward scattering amplitudes -- 7.2. Sum rules in perturbation theory8. Compton-scattering sum rules for vector bosons -- 8.1. Electromagnetic moments : natural values -- 8.2. Gauge symmetries and spin degrees of freedom -- 8.3. Tree-level unitarity : GDH sum rule -- 8.4. Forward VVCS and virtual LbL scattering9. Vacuum polarization and g - 2 of the muon -- 9.1. Vacuum polarization in QED -- 9.2. Unitarity and sum rules -- 9.3. Introduction to the muon anomaly -- 9.4. Hadronic vacuum polarization in the muon anomaly -- 9.5. Muon anomaly via the Schwinger sum rule10. Dispersion theory of hydrogen-like atoms -- 10.1. Quantum-mechanical Coulomb problem -- 10.2. One-photon exchange in dispersive representation -- 10.3. Vacuum polarization contributions to the Lamb shift -- 10.4. Finite-size effects -- 10.5. Two-photon exchange and polarizability effects -- 10.6. Radiative corrections -- 10.7. Proton self-energy and the charge-radius definition.Full-text restricted to subscribers or individual document purchasers.Causality: Cause and effect. In classical physics, an effect cannot occur before its cause. In Einstein's theory of special relativity, causality means that an effect cannot occur from a cause that is not in the back (past) light cone of that event. The books cover the useful physical relations inferred by unitarity and causality. A famous example is the Kramers-Kronig relation for the refractive index of a gas or dilute medium. For example, chapter 3 generalises the Kramers-Kronig relation to relativistic medium, such as CMB (photon gas). These relations are extensively also used in particle and nuclear physics. Especially useful are the so-called 'sum rules', such as the Gerasimov-Drell-Hearn (GDH) or the Baldin sum rule. The author notes that the first edition is too brief. In his teaching practice, he sees that it is challenging to use as a standalone text. He intends to improve the explanations of many topics that students found particularly challenging. The additional material will make the book more timely, self-contained, and logically complete.Physics students and researchers, specialized in optics, atomic, particle and nuclear physics, astrophysics.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. He obtained a PhD at the Institute for Theoretical Physics, and has 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 May 1, 2024).

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: .,

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

Language

English

ISBN/ISSN

9780750334310

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535/.43

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Edition

Second edition.

Subject(s)

Optical physics.
SCIENCE / Physics / Optics & Light.
Light
Dispersion relations.
Sum rules (Physics)

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Vladimir Pascalutsa.

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