finite temperature field theory and phase transition

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1、FiniteTemperatureFieldTheoryandPhaseTransitionsM.-P.LombardoIstitutoNazionalediFisicaNucleare,SezionediPadovaeGruppoCollegatodiTrento,ItalyarXiv:hep-ph/0103141v224May2001Lecturesgivenatthe:SummerSchoolonAstroparticlePhysicsandCosmologyTrieste,12{30June2000LNSlombardo@sci

2、ence.unitn.itAbstractTheselecturesreviewphasesandphasetransitionsoftheStandardModel,withemphasisonthoseaspectswhichareamenabletoarstprinciplestudy.Modelcalcu-lationsandtheoreticalideasofpracticalapplicabilityarediscussedaswell.Contents:1.Overview;2.FieldTheoryatFiniteTemp

3、eratureandDensity;3.CriticalPhenom-ena;4.ElectroweakInteractionsatFiniteTemperature;5.ThermodynamicsofFourFermionsmodels;6.ThePhasesofQCD;7.QCDatFiniteTemperature,B=0;8.QCDatFiniteTemperature,B6=0.Contents1Overview12EquilibriumFieldTheoryatFiniteTemperature22.1Functional

4、IntegralRepresentationofZ....................22.2TheIdeaofDimensionalReduction.......................42.3ModeExpansionandDecoupling........................52.4FiniteTemperature{Summary..........................53CriticalPhenomena63.1TheEquationofStateandtheCriticalExponent

5、s...............63.2TheEectivePotential..............................83.3ACaseStudy...................................93.4DynamicalSymmetryBreaking.........................104ElectroweakInteractionsatFiniteTemperature114.1PerturbativeAnalysis..............................

6、.114.2FourDimensionalLatticeStudy.........................134.3ThreeDimensionalEectiveAnalysis......................144.4ThePhaseDiagramoftheEWSectoroftheStandardModel.........145ThermodynamicsofFourFermionsModels156ThePhasesofQCD197QCDatFiniteTemperature,B=0207.1QCDHigh

7、TP.T.,andSymmetriesI:mq=0andtheChiralTransition..227.2TwoColorQCDI.................................237.3QCDHighTp.t.,andSymmetriesII:mq=1andtheConnementTransition237.4TwoColorQCDII................................247.5SummaryandOpenQuestionsfortheQCDHighTTransition........

8、258QCDatFiniteTemperature,B6=0268.1TheLatticeStrongCouplingAnalysisoftheQCDPhaseDiagram.