06732nam a2200757 i 4500 9780750334310 IOP 20251030124827.0 m eo d cr cn |||m|||a 240501s2024 enka fob 000 0 eng d 9780750334310 ebook 9780750334303 mobi 9780750334297 print 9780750334327 myPrint 10.1088/978-0-7503-3431-0 doi (CaBNVSL)thg00083930 (OCoLC)1432612133 CaBNVSL eng rda CaBNVSL CaBNVSL QC427.4 .P373 2024eb PHJ bicssc SCI053000 bisacsh Pascalutsa, Vladimir, author. 96861 Causality rules : dispersion theory in non-elementary particle physics / Vladimir Pascalutsa. Dispersion theory in non-elementary particle physics. Second edition. Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2024] 1 online resource (various pagings) : illustrations (some color). text rdacontent electronic isbdmedia online resource rdacarrier [IOP release $release] IOP ebooks. [2024 collection] "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 charge 3. 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 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 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 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. Virtual light-by-light scattering -- 7.1. Forward scattering amplitudes -- 7.2. Sum rules in perturbation theory 8. 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 scattering 9. 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 rule 10. 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). Light Scattering. 96862 Dispersion relations. 96863 Sum rules (Physics) 96864 Optical physics. bicssc SCIENCE / Physics / Optics & Light. bisacsh 96410 Institute of Physics (Great Britain), publisher. 17702 Print version: 9780750334297 9780750334327 IOP (Series). Release 24. 96865 IOP ebooks. 2024 collection. 96866 https://iopscience.iop.org/book/mono/978-0-7503-3431-0 E-Books 68455 68455