格子QCDにおける逆伝搬関数を用いた実時間関数の解析

《格子QCDにおける逆伝搬関数を用いた実時間関数の解析》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。

1、ExploringReal-timeFunctionsontheLatticewithInversePropagatorandSelf-EnergyMasakiyoKitazawa(OsakaU.)22/Sep./2011LunchSeminar@BNLQCD@T>0TRHICLHCperturbationLatticeQCDHowdoesthematterbehaveinthisregion?Tc*QuantumStatisticalMechanicsStaticexpectationvalueDynamicalresponseEoSch

2、iralcondensatesusceptibilitiesscreeningmass…Spectralfunc:SpectralFunctionsatT>0quasi-particleexcitationwidth~decayratetransportcoefficientsr(w,p)wpeaksKuboformulaeslopeattheoriginshearviscosity:T12bulkviscosity:Tmmelectricconductivity:JiiAnalyticContinuationanalyticcontinua

3、tionRetarded(real-time)propagatorSpectralfunctionImaginary-time(Matsubara)propagatorLatticeDynamicsAnalyticContinuationMEManalysisofr(w)mostprobableimageestimatedbylatticedata+priorknowledgeAsakawa,Hatsuda,Nakahara,1999qualitativestructureofr(w)Asakawa,Hatsuda,2004;Datta,eta

4、l.,2004;…LatticeDynamicsAnalyticContinuationQuestions:Arethereotherusefulformulastorelatereal-timeandEuclideanfunctions?Isr(w)onlyareal-timefunctionworthanalyzing?Weconsidertheinversepropagator.cf.)sumrulesKharzeev,Tuchin;Karsch,Kharzeev,Tuchin,2008Romatchke,Son,2009;Meyer,2

5、010;…ADifficultyinAnalyzingLowEnergySpectrumMomentExpansionTaylorexpandcoshw(t-1/2T)momentof“thermal”spectrumCnn-thmomentofr’(w).Aarts,etal.,2002Petreczky,Teany,2006Ding,2010LowEnergySpectrumLwContributionofhigherordermomentsoflowenergypartisseverelysuppressed.ForL=T,thera

6、tiois2.1x10-5forn=6.InversePropagatorandAnalyticContinuationInversePropagatorLatticeobservableDynamicalinformationanalyticinverseanalyticinverseF.T.F.T.inverseNumericalProcedureLatticeobservableDynamicalinformationinverseinverseStandardanalysisPresentstudyTranslationalsymmet

7、ryreducescostsfortheinverse.[S]-1(t)isnotthestatisticalaverageoffermionmatrix.F.T.Inv.F.T.QuarkSelf-Energydecayrateofquasi-quark@poleTheoretically,ImSisusefultounderstandspectralproperties.experimentalobservableSpectralfunctionSelf-energy(ImS)Im.partToInterpretPhysicsbehindt

8、heSPCphysicalinterpretationviaopticaltheoremDisp.Rel.wwwSelf-EnergyforDiscr