Strong Interactions in Spacelike and Timelike Domains. Dispersive Approach

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. Content: Front Matter,Copyright,About the Author,Preface,Acknowledgments,Introduction⋆Entitled to full textChapter 1 - Basic Dispersion Relations, Pages 1-19 Chapter 2 - Perturbative QCD Invariant Charge, Pages 21-49 Chapter 3 - Functions Π(q2), R(s), and D(Q2) Within Perturbative Approach, Pages 51-72 Chapter 4 - Dispersive Approach to QCD, Pages 73-103 Chapter 5 - Functions Π(q2), R(s), and D(Q2) Within Dispersive Approach, Pages 105-136 Chapter 6 - R-Ratio at High Energies, Pages 137-154 Conclusions, Page 155 Appendix A - Perturbative QCD Running Coupling, Pages 157-168 Appendix B - Perturbative Spectral Function⋆, Pages 169-176 Chapter C - Perturbative Approximation of R-Ratio, Pages 177-181 Bibliography, Pages 183-202 Index, Pages 203-204