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1、ADP-07-08/T648ComparingSU(2)toSU(3)gluodynamicsonlargelatticesA.Sternbeck,L.vonSmekal,D.B.LeinweberandA.G.WilliamsCentrefortheSubatomicStructureofMatter(CSSM),DepartmentofPhysics,UniversityofAdelaide,SA5005,AustraliaEmail:andre.sternbeck@adelaide.edu.au,lorenz.smekal@adelaide.edu.au,dleinw
2、eb@physics.adelaide.edu.au,anthony.williams@adelaide.edu.auWestudytheSU(2)gluonandghostpropagatorsinLandaugaugeonlatticesuptoasizeof1124.AcomparisonwiththeSU(3)caseismadeandfinite-volumeeffectsaretheninvestigated.WefindthatforalargerangeofmomentatheSU(2)andSU(3)propagatorsareremarkablyalike.
3、Inthelow-momentumregionwecomparewithrecentresultsobtainedinDSEstudiesona4-torus.arXiv:0710.1982v1[hep-lat]10Oct2007TheXXVInternationalSymposiumonLatticeFieldTheoryJuly30–4August2007Regensburg,GermanycCopyrightownedbytheauthor(s)underthetermsoftheCreativeCommonsAttribution-NonCommercial-Sha
4、reAlikeLicence.http://pos.sissa.it/ComparingSU(2)toSU(3)gluodynamicsonlargelattices1.IntroductionForquitesometimenowtheinfraredbehaviourofthefundamentalQCDGreen'sfunctionshasbeenafocusofintensestudy(see,e.g.,thereviews[1,2]andreferencestherein).Nonperturbativeeffectshavebeenandcontinuetobe
5、investigatedinparallelwithvariousfunctionalcontinuummethodsandinlatticesimulations.Theinfraredbehaviourofgluonandquarkpropagatorsandvertexfunctions,especiallyinLandaugauge,therebyisofparticularrelevanceforanunderstandingofconfinementinthecovariantformulationofQCDintermsoflocalquarkandgluonfi
6、elds[1].TheyalsoserveformodelbuildinginahadronphenomenologybasedontheseelementaryQCDcorrelationsviaDyson-SchwingerandBethe-Salpeter/relativisticFaddeevequations[1,3,4].Lookingbackatanintensivedecadeofresearch,resultsobtainedinstudiesofDyson-Schwin-gerequations(DSEs)[5,6],withinstochasticqu
7、antisation[7,8],andofthefunctionalrenormal-isationgroupequations(FRGEs)[9,10]allagreeinaninfraredvanishinggluonpropagatorDcoupledtoanenhancedinfrared-divergingghostpropagatorG.InLandaugaugetheseareab2abqmqnZ(q2)ab2abJ(q2)Dmn(q)=ddmn−q2q2andG(q)=dq2,(1.1)wher
