LEADER 03620nam 2200697 450 001 9910796552603321 005 20230809230446.0 010 $a3-11-043068-1 010 $a3-11-043060-6 024 7 $a10.1515/9783110430608 035 $a(CKB)3850000000001205 035 $a(MiAaPQ)EBC4768926 035 $a(DE-B1597)453352 035 $a(OCoLC)979969592 035 $a(DE-B1597)9783110430608 035 $a(Au-PeEL)EBL4768926 035 $a(CaPaEBR)ebr11316747 035 $a(CaONFJC)MIL972856 035 $a(OCoLC)966586474 035 $a(EXLCZ)993850000000001205 100 $a20161220h20172017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aParton densities in quantum chromodynamics $egauge invariance, path-dependence, and Wilson lines /$fIgor O. Cherednikov, Frederik F. Van der Veken 210 1$aBerlin, [Germany] :$cDe Gruyter,$d2017. 210 4$dİ2017 215 $a1 online resource (226 pages) 225 1 $aDe Gruyter Studies in Mathematical Physics,$x2194-3532 ;$vVolume 37 311 $a3-11-043939-5 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tPreface -- $tContents -- $t1. Introduction -- $t2. Particle Number Operators in Quantum Mechanics and in Quantum Field Theory -- $t3. Geometry of Quantum Field Theories -- $t4. Basics of Wilson Lines in QCD -- $t5. Gauge-Invariant Parton Densities -- $t6. Simplifying Wilson Line Calculations -- $tA. Brief Literature Guide -- $tB. Conventions and Reference Formulae -- $tC. Integrations -- $tBibliography -- $tIndex 330 $aThe purpose of this book is to give a systematic pedagogical exposition of the quantitative analysis of Wilson lines and gauge-invariant correlation functions in quantum chromodynamics. Using techniques from the previous volume (Wilson Lines in Quantum Field Theory, 2014), an ab initio methodology is developed and practical tools for its implementation are presented. Emphasis is put on the implications of gauge invariance and path-dependence properties of transverse-momentum dependent parton density functions. The latter are associated with the QCD factorization approach to semi-inclusive hadronic processes, studied at currently operating and planned experimental facilities. Contents:IntroductionParticle Number Operators in Quantum Mechanics and in Quantum Field TheoryGeometry of Quantum Field TheoriesBasics of Wilson Lines in QCDGauge-Invariant Parton DensitiesSimplifying Wilson Line CalculationsBrief Literature GuideConventions and Reference FormulaeIntegrationsBibliographyIndex 410 0$aDe Gruyter studies in mathematical physics ;$vVolume 37. 606 $aQuantum chromodynamics 606 $aPartons 606 $aGauge invariance 606 $aGauge fields (Physics) 610 $aQCD factorization. 610 $aWilson lines and loops. 610 $agauge-invariance. 610 $aparton density functions. 610 $aperturbative calculations in QCD. 610 $atransverse-momentum dependence. 615 0$aQuantum chromodynamics. 615 0$aPartons. 615 0$aGauge invariance. 615 0$aGauge fields (Physics) 676 $a539.7/548 686 $aUO 5740$qSEPA$2rvk 700 $aCherednikov$b Igor Olegovich$01494009 702 $aVeken$b Frederik F. Van der 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910796552603321 996 $aParton densities in quantum chromodynamics$93717309 997 $aUNINA