Causality rules : dispersion theory in nonelementary particle physics
 Responsibility
 Vladimir Pascalutsa.
 Edition
 Second edition.
 Publication
 Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2024]
 Physical description
 1 online resource (various pagings) : illustrations (some color).
Online
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Description
Creators/Contributors
 Author/Creator
 Pascalutsa, Vladimir, author.
 Contributor
 Institute of Physics (Great Britain), publisher.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 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. Lowenergy 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 KramersKronig relation
 3.1. Refraction in a relativistic medium
 3.2. The lowfrequency limit : the LorentzLorenz 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. Lowenergy expansion and sum rules
 4.4. Empirical evaluations for the nucleon
 5. Virtual Compton scattering and quasireal sum rules
 5.1. VVCS and structure functions
 5.2. Elastic versus Born contributions
 5.3. The BurkhardtCottingham 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 BernabéuTarrach sum rule
 5.8. Validation in the parton model
 5.9. Further spindependent relations
 6. Sum rules for lightbylight 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. Nonperturbative verification : bound state
 6.7. Implications for mesons
 6.8. Composite Higgs
 7. Virtual lightbylight scattering
 7.1. Forward scattering amplitudes
 7.2. Sum rules in perturbation theory
 8. Comptonscattering sum rules for vector bosons
 8.1. Electromagnetic moments : natural values
 8.2. Gauge symmetries and spin degrees of freedom
 8.3. Treelevel 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 hydrogenlike atoms
 10.1. Quantummechanical Coulomb problem
 10.2. Onephoton exchange in dispersive representation
 10.3. Vacuum polarization contributions to the Lamb shift
 10.4. Finitesize effects
 10.5. Twophoton exchange and polarizability effects
 10.6. Radiative corrections
 10.7. Proton selfenergy and the chargeradius definition.
 Summary
 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 KramersKronig relation for the refractive index of a gas or dilute medium. For example, chapter 3 generalises the KramersKronig relation to relativistic medium, such as CMB (photon gas). These relations are extensively also used in particle and nuclear physics. Especially useful are the socalled 'sum rules', such as the GerasimovDrellHearn (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, selfcontained, and logically complete.
Subjects
Bibliographic information
 Publication date
 2024
 Title variation
 Dispersion theory in nonelementary particle physics.
 Note
 "Version: 20240401"Title page verso.
 Access
 Fulltext restricted to subscribers or individual document purchasers.
 Audience
 Physics students and researchers, specialized in optics, atomic, particle and nuclear physics, astrophysics.
 Note
 Also available in print.
 Format
 Mode of access: World Wide Web.
 System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
 Note
 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).
 ISBN
 9780750334310 ebook
 9780750334303 mobi
 9780750334297 print
 9780750334327 myPrint
 DOI
 10.1088/9780750334310