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1、February7,2008?DualGinzburg-LandauTheoryforNonperturbativeQCDH.Suganuma,H.Ichie,S.SasakiandH.TokiResearchCenterforNuclearPhysics(RCNP),OsakaUniversityMihogaoka10-1,Ibaraki,Osaka567,JapanABSTRACTNonperturbativeQCDisstudiedwiththedualGinzburg-Landautheory,wherearXiv:hep-ph/
2、9506366v120Jun1995colorcon?nementisrealizedthroughthedualHiggsmechanismbyQCD-monopolecondensation.Weobtainageneralanalyticformulaforthestringtension.Acompactformulaisderivedforthescreenedinter-quarkpotentialinthepresenceoflightdynamicalquarks.TheQCDphasetransitionat?nitet
3、emperatureisstudiedusingthee?ectivepotentialformalism.ThestringtensionandtheQCD-monopolemassarelargelyreducednearthecriticaltemperature,Tc.Thesurfacetensionisestimatedfromthee?ectivepotentialatTc.Weproposealsoanewscenarioofthequark-gluon-plasmacreationthroughthecolor-elec
4、tric?ux-tubeannihilation.Finally,wediscussacloserelationbetweeninstantonsandQCD-monopoles.?InvitedTalkoftheInternationalWorkshopon“ColorCon?nementandHadrons”,RCNPOsakaJapan,March1995,toappearinWorldScienti?cCo.1.DualHiggsMechanismforColorCon?nementColorcon?nementanddynami
5、calchiral-symmetrybreakingarequiteoutstand-ingfeaturesinthenonperturbativeQCD.1,2Inparticular,colorcon?nementisextremelyunique,andischaracterizedbytheformationofthecolor-electric?uxtube2withthestringtensionabout1GeV/fm.Tounderstandthecon?nementmechanism,muchattentionhasbe
6、enpaidfortheanalogybetweenthesupercon-ductorandtheQCDvacuum.3Similartothesuperconductivity,4thecolor-electric?uxseemstobeexcludedintheQCDvacuum,whichleadstheformationofthesqueezedcolor-?uxtubebetweencolorsources.Inthisanalogy,colorcon?nementisbroughtbythedualMeissnere?ect
7、origi-natedfromcolor-magneticmonopolecondensation,whichcorrespondstoCooper-paircondensationinthesuperconductivity.Asfortheappearanceofcolor-magneticmonopolesinQCD,’tHooft5proposedaninterestingideaoftheabeliangauge?x-ing,whichisde?nedbythediagonalizationofagauge-dependentv
8、ariable.Inthisgauge,QCDisreducedintoanabeliangaugetheorywithQCD-monopoles,whichappearfromthehedg
