06660nam a2200733 i 45000010014000000030004000140050017000180060019000350070015000540080041000690200025001100200024001350200025001590200027001840240035002110350025002460350022002710400040002930500026003330720016003590720023003751000042003982450100004402460058005402500020005982640098006183000071007163360021007873370026008083380032008344900027008664900034008935000043009275040041009705050367010115050170013785050237015485050429017855050340022145050120025545050248026745050262029225050390031845060075035745201074036495210113047235300029048365380036048655380078049015450436049795880055054156500030054706500033055006500031055336500029055646500056055937100061056497760049057108300038057598300041057978560059058389420012058979990017059099780750334310IOP20251030124827.0m    eo  d        cr cn |||m|||a240501s2024    enka   fob    000 0 eng d  a9780750334310qebook  a9780750334303qmobi  z9780750334297qprint  z9780750334327qmyPrint7 a10.1088/978-0-7503-3431-02doi  a(CaBNVSL)thg00083930  a(OCoLC)1432612133  aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQC427.4b.P373 2024eb 7aPHJ2bicssc 7aSCI0530002bisacsh1 aPascalutsa, Vladimir,eauthor.9968611 aCausality rules :bdispersion theory in non-elementary particle physics /cVladimir Pascalutsa.3 aDispersion theory in non-elementary particle physics.  aSecond edition. 1aBristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :bIOP Publishing,c[2024]  a1 online resource (various pagings) :billustrations (some color).  atext2rdacontent  aelectronic2isbdmedia  aonline resource2rdacarrier1 a[IOP release $release]1 aIOP ebooks. [2024 collection]  a"Version: 20240401"--Title page verso.  aIncludes bibliographical references.  a1. 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 charge8 a3. 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 index8 a4. 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 nucleon8 a5. 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 relations8 a6. 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 Higgs8 a7. Virtual light-by-light scattering -- 7.1. Forward scattering amplitudes -- 7.2. Sum rules in perturbation theory8 a8. 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 scattering8 a9. 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 rule8 a10. 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.  aFull-text restricted to subscribers or individual document purchasers.3 aCausality: 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.  aPhysics students and researchers, specialized in optics, atomic, particle and nuclear physics, astrophysics.  aAlso available in print.  aMode of access: World Wide Web.  aSystem requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.  aVladimir 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).  aTitle from PDF title page (viewed on May 1, 2024).  aLightxScattering.996862  aDispersion relations.996863  aSum rules (Physics)996864 7aOptical physics.2bicssc 7aSCIENCE / Physics / Optics & Light.2bisacsh9964102 aInstitute of Physics (Great Britain),epublisher.917702 8iPrint version:z9780750334297z9780750334327 0aIOP (Series).pRelease 24.996865  aIOP ebooks.p2024 collection.9968664 uhttps://iopscience.iop.org/book/mono/978-0-7503-3431-0  cE-Books  c68455d68455