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1、ThispageintentionallyleftblankNON-PERTURBATIVEFIELDTHEORYFromTwo-DimensionalConformalFieldTheorytoQCDinFourDimensionsProvidinganewperspectiveonquantum?eldtheory,thisbookgivesaped-agogicalandup-to-dateexpositionofnon-perturbativemethodsinrelativisticquantum?eldtheoryandintroducestherea
2、dertomodernresearchworkintheoreticalphysics.Itdescribesindetailnon-perturbativemethodsinquantum?eldtheory,andexplorestwo-dimensionalandfour-dimensionalgaugedynamicsusingthosemethods.Thebookconcludeswithasummaryemphasizingtheinterplaybetweentwo-andfour-dimensionalgaugetheories.Aimedatg
3、raduatestudentsandresearchers,thisbookcoverstopicsfromtwo-dimensionalconformalsymmetry,a?neLiealgebras,solitons,integrablemodels,bosonizationand’tHooftmodel,tofour-dimensionalconformalinvariance,inte-grability,largeNexpansion,Skyrmemodel,monopolesandinstantons.Applica-tions,?rsttosimp
4、le?eldtheoriesandgaugedynamicsintwodimensions,andthentogaugetheoriesinfourdimensionsandquantumchromodynamics(QCD)inparticular,arethoroughlydescribed.YitzhakFrishmanisaProfessorEmeritusattheWeizmannInstitute,Israel,wherehehasservedasHeadoftheEinsteinCentreforTheoreticalPhysicsandHeadof
5、theDepartmentofParticlePhysics.JacobSonnenscheinisaProfessorofPhysicsatTelAvivUniversity,Israel,wherehewasHeadoftheParticlePhysicsDepartmentfrom2003to2007.CAMBRIDGEMONOGRAPHSONMATHEMATICALPHYSICSGeneralEditors:P.V.Landsho?,D.R.Nelson,S.WeinbergS.J.AarsethGravitationalN-BodySimulations
6、:ToolsandAlgorithmsJ.Ambj?rn,B.DurhuusandT.JonssonQuantumGeometry:AStatisticalFieldTheoryApproachA.M.AnileRelativisticFluidsandMagneto-?uids:WithApplicationsinAstrophysicsandPlasmaPhysicsJ.A.deAzc′arragaandJ.M.IzquierdoLieGroups,LieAlgebras,CohomologyandSome?ApplicationsinPhysics?O.Ba
7、belon,D.BernardandM.TalonIntroductiontoClassicalIntegrableSystemsF.BastianelliandP.vanNieuwenhuizenPathIntegralsandAnomaliesinCurvedSpaceV.BelinskiandE.VerdaguerGravitationalSolitonsJ.BernsteinKineticTheoryintheExpandingUniverseG.F.BertschandR.A.BrogliaOscillationsinFiniteQuantumSyste
8、ms?N.
