Causality rules : dispersion theory in non-elementary particle physics / Vladimir Pascalutsa.

Format:

Book

Author/Creator:

Pascalutsa, Vladimir, author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP (Series). Release 24.

IOP ebooks. 2024 collection.

[IOP release $release]

IOP ebooks. [2024 collection]

Language:

English

Subjects (All):

Light--Scattering.

Light.

Dispersion relations.

Sum rules (Physics).

Physical Description:

1 online resource (various pagings) : illustrations (some color).

Edition:

Second edition.

Other Title:

Dispersion theory in non-elementary particle physics.

Place of Publication:

Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2024]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Biography/History:

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).

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 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.

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. 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 Bernabéu-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.

Notes:

"Version: 20240401"--Title page verso.

Includes bibliographical references.

Title from PDF title page (viewed on May 1, 2024).

Other Format:

Print version:

ISBN:

9780750334310

9780750334303

OCLC:

1432612133

Access Restriction:

Restricted for use by site license.