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Strong Interactions in Spacelike and Timelike Domains: Dispersive Approach provides the theoretical basis for the description of the strong interactions in the spacelike and timel… Read more
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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.
Graduate and postgraduate students, university lecturers, and researchers working in the fields of high energy physics, particle physics, quantum chromodynamics, and mathematical physics
Chapter 1: Basic Dispersion Relations
Chapter 2: Perturbative QCD Invariant Charge
Chapter 3: Functions Π(q2), R(s), and D(Q2) Within Perturbative Approach
Chapter 4: Dispersive Approach to QCD
Chapter 5: Functions Π(q2), R(s), and D(Q2) Within Dispersive Approach
Chapter 6: R-Ratio at High Energies
Conclusions
Appendix A: Perturbative QCD Running Coupling
Appendix B: Perturbative Spectral Function
Appendix C: Perturbative Approximation of R-Ratio
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