Quantum Chromodynamics Sum Rules

Description

This concise book provides the necessary background to allow interested readers to launch original research projects on the subject matter. Currently, this material is not available from one single source, and is either spread out over numerous journal publications, or covered in long and technical monographs. At the core of this book lies the sum rule approach to obtain analytic results in Quantum Chromodynamics (QCD), the current theory of strong interactions among quarks and gluons. This method fully complements Lattice QCD, the corresponding computational approach based on discretizing QCD on a space-time lattice. Applications include standard determinations of hadronic particle properties with extensions to finite temperature and density, and possibly involving the presence of extreme magnetic fields. The latter cases include stellar objects (e.g. neutron stars and magnetars) as well as high-energy proton–proton and heavy-ion collisions. Further topics concern the determination of the fundamental parameters of QCD, e.g. quark masses and the quark–gluon couplings, the hadronic contribution to the anomalous magnetic moment of the muon, and electromagnetic coupling at the the W-boson mass scale. Front Matter ....Pages i-xii Introduction (Cesareo A. Dominguez)....Pages 1-7 Operator Product Expansion in QCD (Cesareo A. Dominguez)....Pages 9-11 Renormalization Group Equation (Cesareo A. Dominguez)....Pages 13-19 Integration in the Complex s-Plane (Cesareo A. Dominguez)....Pages 21-24 Determination of the QCD Strong Coupling (Cesareo A. Dominguez)....Pages 25-30 Hadronic Spectral Functions (Cesareo A. Dominguez)....Pages 31-37 QCD Chiral Sum Rules (Cesareo A. Dominguez)....Pages 39-43 Determination of the Gluon Condensate (Cesareo A. Dominguez)....Pages 45-58 Quark Masses (Cesareo A. Dominguez)....Pages 59-67 Corrections to the GMOR Relation (Cesareo A. Dominguez)....Pages 69-72 Anomalous Magnetic Moment of the Muon (Cesareo A. Dominguez)....Pages 73-80 QCD Sum Rules at Finite Temperature (Cesareo A. Dominguez)....Pages 81-85 Summary and Outlook (Cesareo A. Dominguez)....Pages 87-89 Back Matter ....Pages 91-113