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1、1Chiralextrapolationoflight-lightandheavy-lightdecayconstantsinunquenchedQCD∗JLQCDCollaboration:S.Hashimotoa,S.Aokib,M.Fukugitac,K-I.Ishikawab,d,N.IshizukabY.Iwasakib,d,K.Kanayab,d,T.Kanekoa,Y.Kuramashia,M.Okawae,N.Tsutsuia,A.Ukawab,d,N.Yamadaa,andT.Yoshi´eb,d.aHighEner
2、gyAcceleratorResearchOrganization(KEK),Tsukuba305-0801,JapanbInstituteofPhysics,UniversityofTsukuba,Tsukuba305-8571,Japan.cInstituteforCosmicRayResearch,UniversityofTokyo,Kashiwa,Chiba277-8582,Japan.dCenterforComputationalPhysics,UniversityofTsukuba,Tsukuba305-8577,Japa
3、n.eDepartmentofPhysics,HiroshimaUniversity,Higashi-Hiroshima739-8526,Japan.Wetesttheone-loopchiralperturbationtheoryformulaonunquenchedlatticedataofpseudoscalarmesondecayconstants.Thechiralextrapolationincludingtheeffectofthechirallogarithmisattemptedanditsuncertaintyisd
4、iscussed.1.IntroductiondardgaugeandnonperturbativelyO(a)-improvedfermionactionatβ=5.2withseaquarkmassesIntheunquenchedQCDsimulationsusingthecorrespondingtothepionmassintherange550–HybridMonteCarloalgorithm,thecomputa-1000MeV.Furtherdetailsofthesimulationaretionalcostrap
5、idlygrowsasthechirallimitofdiscussedinaseparatetalk[1].seaquarkisapproached.InpracticalsimulationsWealsodiscusstheuncertaintyassociatedwithwithWilson-typefermionstheseaquarkmassisthechiralextrapolationtakinglight-lightandlimitedtobeheavierthan∼ms/2.Toobtaintheheavy-ligh
6、tdecayconstantsasexamples.physicalresultsforuanddquarks,therefore,thechiralextrapolationisindispensable.2.TestoftheChPTformulaInthechiralextrapolationthechiralperturba-arXiv:hep-lat/0209091v19Sep2002tiontheory(ChPT)maybeusedtodecidetheInfullQCDtheChPTpredictsaspecificfun
7、c-functionalform,asitisaneffectivetheoryvalidtionaldependenceofphysicalquantitiesontheforlowenergyQCD.Oncetheavailablelatticequarkmass,i.e.thechirallogarithm,attheone-dataareconfirmedtobeconsistentwithChPT,looporder.ForNfflavorsofdegeneratequarkstheextrapolationtotheuanddq
8、uarkmassesus-withamassmS,thepseudoscalarmesondecayingtheChPTformulaisjustified.ThepracticalconstantfSSisgivenby