Strong Interactions in Spacelike and Timelike Domains

Strong Interactions in Spacelike and Timelike Domains

Dispersive Approach

1st Edition - November 14, 2016
This is the Latest Edition
  • Author: Alexander V. Nesterenko
  • Paperback ISBN: 9780128034392
  • eBook ISBN: 9780128034484

Purchase options

Purchase options
Available
DRM-free (EPub, PDF, Mobi)
Sales tax will be calculated at check-out

Institutional Subscription

Free Global Shipping
No minimum order

Description

Strong Interactions in Spacelike and Timelike Domains: Dispersive Approach provides the theoretical basis for the description of the strong interactions in the spacelike and timelike domains. The book primarily focuses on the hadronic vacuum polarization function, R-ratio of electron-positron annihilation into hadrons, and the Adler function, which govern a variety of the strong interaction processes at various energy scales. Specifically, the book presents the essentials of the dispersion relations for these functions, recaps their perturbative calculation, and delineates the dispersively improved perturbation theory. The book also elucidates the peculiarities of the continuation of the spacelike perturbative results into the timelike domain, which is indispensable for the studies of electron-positron annihilation into hadrons and the related processes.

Key Features

  • Covers the topics that play an essential role in contemporary particle physics and future collider projects
  • Applicable for self-education alongside standard textbooks
  • Makes the subject easily accessible without the need of an extensive theoretical background

Readership

Graduate and postgraduate students, university lecturers, and researchers working in the fields of high energy physics, particle physics, quantum chromodynamics, and mathematical physics

Table of Contents

  • Chapter 1: Basic Dispersion Relations

    • Abstract
    • 1.1 R-Ratio of Electron-Positron Annihilation Into Hadrons
    • 1.2 Hadronic Vacuum Polarization Function Π(q2)
    • 1.3 Adler Function D(Q2)

    Chapter 2: Perturbative QCD Invariant Charge

    • Abstract
    • 2.1 Renormalization Group Equation
    • 2.2 One-Loop Perturbative QCD Running Coupling
    • 2.3 QCD Invariant Charge at Higher Loop Levels

    Chapter 3: Functions Π(q2), R(s), and D(Q2) Within Perturbative Approach

    • Abstract
    • 3.1 Hadronic Vacuum Polarization Function Within Perturbative Approach
    • 3.2 Adler Function Within Perturbative Approach
    • 3.3 R-Ratio Within Perturbative Approach

    Chapter 4: Dispersive Approach to QCD

    • Abstract
    • 4.1 Unified Integral Representations for Functions Π(q2), R(s), and D(Q2)
    • 4.2 Spectral Density
    • 4.3 Note on the Massless Limit

    Chapter 5: Functions Π(q2), R(s), and D(Q2) Within Dispersive Approach

    • Abstract
    • 5.1 Hadronic Vacuum Polarization Function Within DPT
    • 5.2 R-Ratio Within DPT
    • 5.3 Adler Function Within DPT

    Chapter 6: R-Ratio at High Energies

    • Abstract
    • 6.1 Appearance of the π2-Terms
    • 6.2 General Features
    • 6.3 Higher-Order Estimations

    Conclusions

    Appendix A: Perturbative QCD Running Coupling

    Appendix B: Perturbative Spectral Function

    Appendix C: Perturbative Approximation of R-Ratio

Product details

  • No. of pages: 222
  • Language: English
  • Copyright: © Elsevier 2016
  • Published: November 14, 2016
  • Imprint: Elsevier
  • Paperback ISBN: 9780128034392
  • eBook ISBN: 9780128034484

About the Author

Alexander V. Nesterenko

Alexander V. Nesterenko
Dr. Alexander V. Nesterenko is a senior researcher at the Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russian Federation. He graduated with honors from Moscow State University where he obtained a PhD in theoretical physics. He was a Post-Doctoral researcher at the Ecole Polytechnique, France, and University of Valencia, Spain. He actively works in the area of the theoretical particle physics and is a referee for several APS and IOP journals. An experienced lecturer in Quantum Field Theory and Quantum Chromodynamics, he has published two textbooks based on his lecture course.

Affiliations and Expertise

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia