03620nam 2200697 450 991081869590332120230809230446.03-11-043068-13-11-043060-610.1515/9783110430608(CKB)3850000000001205(MiAaPQ)EBC4768926(DE-B1597)453352(OCoLC)979969592(DE-B1597)9783110430608(Au-PeEL)EBL4768926(CaPaEBR)ebr11316747(CaONFJC)MIL972856(OCoLC)966586474(EXLCZ)99385000000000120520161220h20172017 uy 0engurcnu||||||||rdacontentrdamediardacarrierParton densities in quantum chromodynamics gauge invariance, path-dependence, and Wilson lines /Igor O. Cherednikov, Frederik F. Van der VekenBerlin, [Germany] :De Gruyter,2017.©20171 online resource (226 pages)De Gruyter Studies in Mathematical Physics,2194-3532 ;Volume 373-11-043939-5 Includes bibliographical references and index.Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Particle Number Operators in Quantum Mechanics and in Quantum Field Theory -- 3. Geometry of Quantum Field Theories -- 4. Basics of Wilson Lines in QCD -- 5. Gauge-Invariant Parton Densities -- 6. Simplifying Wilson Line Calculations -- A. Brief Literature Guide -- B. Conventions and Reference Formulae -- C. Integrations -- Bibliography -- IndexThe purpose of this book is to give a systematic pedagogical exposition of the quantitative analysis of Wilson lines and gauge-invariant correlation functions in quantum chromodynamics. Using techniques from the previous volume (Wilson Lines in Quantum Field Theory, 2014), an ab initio methodology is developed and practical tools for its implementation are presented. Emphasis is put on the implications of gauge invariance and path-dependence properties of transverse-momentum dependent parton density functions. The latter are associated with the QCD factorization approach to semi-inclusive hadronic processes, studied at currently operating and planned experimental facilities. Contents:IntroductionParticle Number Operators in Quantum Mechanics and in Quantum Field TheoryGeometry of Quantum Field TheoriesBasics of Wilson Lines in QCDGauge-Invariant Parton DensitiesSimplifying Wilson Line CalculationsBrief Literature GuideConventions and Reference FormulaeIntegrationsBibliographyIndexDe Gruyter studies in mathematical physics ;Volume 37.Quantum chromodynamicsPartonsGauge invarianceGauge fields (Physics)QCD factorization.Wilson lines and loops.gauge-invariance.parton density functions.perturbative calculations in QCD.transverse-momentum dependence.Quantum chromodynamics.Partons.Gauge invariance.Gauge fields (Physics)539.7/548UO 5740SEPArvkCherednikov Igor Olegovich1677572Veken Frederik F. Van derMiAaPQMiAaPQMiAaPQBOOK9910818695903321Parton densities in quantum chromodynamics4067894UNINA