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Causality rules : dispersion theory in non-elementary particle physics / Vladimir Pascalutsa.
- Format:
- Book
- Author/Creator:
- Pascalutsa, Vladimir, author.
- Series:
- IOP Ebooks Series
- Language:
- English
- Subjects (All):
- Photon-photon interactions.
- Physical Description:
- 1 online resource (125 pages)
- Edition:
- Second edition.
- Place of Publication:
- Bristol, England : IOP Publishing, [2024]
- 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.
- Contents:
- Intro
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- This book is about powerful relations due to causality, often in combination with other general principles, such as unitarity and space&
- time symmetries. These general relations are widely used in many fields of physics, from optics and atomic theory to gaining insights into quantum gravity. Yet, they are rarely a part of the sta
- Acknowledgements
- Author biography
- Vladimir Pascalutsa
- Chapter Introduction
- References
- Chapter Some rules for sum rules
- 2.1 Causality and analyticity
- 2.2 Derivation of dispersion relations
- 2.2.1 An elementary example: the inverse square root
- 2.3 Crossing symmetry
- 2.4 Unitarity
- 2.5 Low-energy theorems and sum rules
- 2.5.1 The good, the bad, and the ugly?
- 2.6 Relaxing the convergence condition
- 2.6.1 An elementary example: the logarithm
- 2.7 Divergencies, subtractions, and renormalization
- 2.8 An approximate sum rule for the proton charge
- Chapter 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
- Chapter 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
- Chapter 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 Bernabéu-Tarrach sum rule
- 5.8 Validation in the parton model
- 5.9 Further spin-dependent relations
- Chapter 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
- Chapter Virtual light-by-light scattering
- 7.1 Forward scattering amplitudes
- 7.1.1 General decomposition of the forward LbL amplitude
- 7.1.2 Unitarity
- 7.1.3 Dispersion relations
- 7.1.4 Low-energy expansion via an effective Lagrangian
- 7.2 Sum rules in perturbation theory
- 7.2.1 Scalar QED
- 7.2.2 Spinor QED
- Chapter 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
- Chapter 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
- Chapter 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
- 10.3.1 The first-order effect
- 10.3.2 Second-order effect
- 10.4 Finite-size effects
- 10.4.1 Lamb shift
- 10.4.2 Hyperfine splitting.
- 10.5 Two-photon exchange and polarizability effects
- 10.6 Radiative corrections
- 10.6.1 VP2 correction
- 10.6.2 VP1 correction to the Lamb shift
- 10.6.3 VP1 correction to HFS (figure 10.1(c))
- 10.6.4 Combining VP1 and VP2
- 10.7 Proton self-energy and the charge-radius definition
- References.
- Notes:
- Description based on publisher supplied metadata and other sources.
- Description based on print version record.
- Includes bibliographical references.
- ISBN:
- 9780750344838
- 0750344830
- OCLC:
- 1432599052
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