Causality rules : a light treatise on dispersion relations and sum rules /
Saved in:
Author / Creator: | Pascalutsa, Vladimir, author. |
---|---|
Imprint: | San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018] Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018] |
Description: | 1 online resource (various pagings) : illustrations (some color). |
Language: | English |
Series: | [IOP release 5] IOP concise physics, 2053-2571 IOP (Series). Release 5. IOP concise physics. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11681375 |
Table of Contents:
- 1. Introduction and outline
- 2. Some rules for sum rules
- 2.1. Causality and analyticity
- 2.2. Derivation of dispersion relation
- 2.3. Crossing symmetry
- 2.4. Unitarity
- 2.5. Low-energy theorems
- 2.6. Divergencies, subtractions and renormalization
- 2.7. An approximate sum rule for the proton charge
- 3. Kramers-Kronig relation
- 3.1. Refraction in relativistic medium
- 3.2. The low-frequency limit : 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 and quasi-real Compton scattering
- 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. Further spin-dependent relations
- 5.6. Spin-independent 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. Sum rules for vector bosons
- 7.1. Electromagnetic moments : natural values
- 7.2. Gauge symmetries and spin degrees of freedom
- 7.3. Tree-level unitarity : GDH sum rule
- 7.4. Forward VVCS and virtual LbL scattering.