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1、宇宙微波背景辐射与CPT破坏李明哲李明哲南京大学物理学院南京大学物理学院南大南大-紫台紫台 粒子粒子-核核-宇宙学联合研究中心宇宙学联合研究中心2010.4.18 南昌南昌 中国高能物理学会中国高能物理学会OutlinenBriefreviewonCMBpolarizationnHowtotestCPTviolationwithCMBpolarizationnCurrentstatusnExplicitandspontaneousCPTviolationsnConclusionsBrief Review on CMB PolarizationTemperaturefluctuationatLS
2、STemperatureAngularPowerSpectrumGeneratingCMBpolarizationatLSSBothdensityperturbation(scalarperturbation)andgravitywaves(tensorperturbation)cangeneratequadrupoleanisotropiesfortheradiationScalarperturbationgeneratesTandE-polarizationTensorperturbationgeneratesT,E-andB-polarizationsPolarizationsexper
3、iencemodificationsduringthepropagationfromLSStotheobserver(reionization,weaklensing,)HereIreportthechangebyCPTviolationPolarization and Stokes parametersAt the inertial frameIintensityQ&UlinearpolarizationVcircularpolarizationThepolarizationangle:Spin2How To Test CPT Violation With CMB PolarizationL
4、orentzandCPTareviolatedbytheChern-SimonstermTheactionintegralisgaugeinvariantiftheexternalfieldisconstantormaybethedarkenergyM.Li, X.Wang, B.Feng, X.Zhang, PRD (2002);Li, Zhang, PLB (2003)orRicciscalarH.Li, M.Li, X.Zhang, PRD (2004); B.Feng, H.Li, M.Li, X.Zhang, PLB(2005);M.Li, J.Xia, H.Li, X. Zhang
5、, PLB(2007)GeometricOpticsApproximationEquationsofmotionBasic equations:M.Li, X.Zhang, PRD(2008)CPT violation induced the rotation of the polarization directionRotation angle only depends on the difference of dark energy field at the source and the observers positions. Rotation angle characterizes t
6、he CPT-violating effect!In the case of homogeneous Without CPT violation, the correlations of TB and EB vanishBo Feng, Mingzhe Li, Junqing Xia, Xuelei Chen, Xinmin Zhang, PRL(2006)Current StatusCMBPolcandetectBo Feng, Mingzhe Li, Hong Li, Xinmin Zhang, PLB(2005), hep-ph/0406269Simulationresult:WMAP3
7、+BOOMERanG03Bo Feng, Mingzhe Li, Junqing Xia,Xuelei Chen, Xinmin Zhang, PRL(2006)4)5)7)J.Q.Xiaetal.,A&A(2008)6)J.Q.Xiaetal.,ApJL(2008)Komatsuetal.,arXiv:0803.0547,ApJS(2009)J.Q.Xiaetal.,A&A(2008)P.Cabella,Natoli&Silk,PRD(2007)1)WMAPGroup3)QUaDGroupM.L.Brownetal.,arXiv:0906.1003,ApJ(2009)Komatsuetal.
8、,arXiv:1001.45382)WMAPGroupWMAP5+B03+BICEPWMAP5+B03+BICEP+QUaDJun-Qing Xia, Hong Li & Xinmin Zhang, arXiv:0908.1876, PLB (2010)Explicit and spontaneous CPT violationsExplicit:GravitationalfieldequationEinsteintensorsymmetricandInconsistent!Mingzhe Li, Yi-Fu Cai, Xiulian Wang & Xinmin Zhang, PLB(2009
9、)ConstraintTBandEBonRHSareduetoCPTviolationingravitycausesdifferentspectraforleftandrighthandedtensorperturbationsandgeneratesTBandEBofCMBatLSS.Spontaneous:Not necessary to modify the gravity!RotationangledependsontimeaswellasspaceEquivalenceprincipleWeneedtoconsideritsgravitationalperturbationSpati
10、al dependent rotation angle:Mingzhe Li & Xinmin Zhang, PRD(2008)Constraining a spatially dependent rotation of the Cosmic Microwave Background Polarization.Yadav,Biswas,Su,Zaldarriaga,PRD(2009)How to De-Rotate the Cosmic Microwave Background Polarization.M.Kamionkowski,PRL(2009)DetectionofSpatiallyD
11、ependentRotationAngleDe-Rotation of the Cosmic Microwave Background Polarization: Full-Sky Formalism.V.Gluscevic,M.Kamionkowski&A.Cooray,PRD(2009)ConclusionnThehighprecisionCMBpolarizationexperimentsareimportantwaystotestCPT.Currentlybigprocessmadealongthisdirection.nExplicitCPTbreakingmodelsneedtomodifythegravity.nForspontaneousCPTbreaking,therotationangleisspatialdependent,weneedtoconsideritsgravitationalperturbation.Thanks!
