Dual Ginzburg-Landau Theory for Nonperturbative QCD

Dual Ginzburg-Landau Theory for Nonperturbative QCD

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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、9506366v120Jun1995colorconfinementisrealizedthroughthedualHiggsmechanismbyQCD-monopolecondensation.Weobtainageneralanalyticformulaforthestringtension.Acompactformulaisderivedforthescreenedinter-quarkpotentialinthepresenceoflightdynamicalquarks.TheQCDphasetransitionatfinitet

3、emperatureisstudiedusingtheeffectivepotentialformalism.ThestringtensionandtheQCD-monopolemassarelargelyreducednearthecriticaltemperature,Tc.ThesurfacetensionisestimatedfromtheeffectivepotentialatTc.Weproposealsoanewscenarioofthequark-gluon-plasmacreationthroughthecolor-elec

4、tricflux-tubeannihilation.Finally,wediscussacloserelationbetweeninstantonsandQCD-monopoles.⋆InvitedTalkoftheInternationalWorkshopon“ColorConfinementandHadrons”,RCNPOsakaJapan,March1995,toappearinWorldScientificCo.1.DualHiggsMechanismforColorConfinementColorconfinementanddynami

5、calchiral-symmetrybreakingarequiteoutstand-ingfeaturesinthenonperturbativeQCD.1,2Inparticular,colorconfinementisextremelyunique,andischaracterizedbytheformationofthecolor-electricfluxtube2withthestringtensionabout1GeV/fm.Tounderstandtheconfinementmechanism,muchattentionhasbe

6、enpaidfortheanalogybetweenthesupercon-ductorandtheQCDvacuum.3Similartothesuperconductivity,4thecolor-electricfluxseemstobeexcludedintheQCDvacuum,whichleadstheformationofthesqueezedcolor-fluxtubebetweencolorsources.Inthisanalogy,colorconfinementisbroughtbythedualMeissnereffect

7、origi-natedfromcolor-magneticmonopolecondensation,whichcorrespondstoCooper-paircondensationinthesuperconductivity.Asfortheappearanceofcolor-magneticmonopolesinQCD,’tHooft5proposedaninterestingideaoftheabeliangaugefix-ing,whichisdefinedbythediagonalizationofagauge-dependentv

8、ariable.Inthisgauge,QCDisreducedintoanabeliangaugetheorywithQCD-monopoles,whichappearfromthehedg

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