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The physics of the cosmic microwave background PDF

273 Pages·2006·4.6 MB·English
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This page intentionally left blank THEPHYSICSOFTHECOSMICMICROWAVEBACKGROUND Spectacular observational breakthroughs by recent experiments, and particularly the WMAPsatellite,haveheraldedanewepochofCMBscience40yearsafteritsoriginal discovery. Takingaphysicalapproach,theauthorsprobetheproblemofthe‘darkness’ofthe Universe: the origin and evolution of dark energy and matter in the cosmos. Starting with the observational background of modern cosmology, they provide an up-to-date andaccessiblereviewofthisfascinatingyetcomplexsubject.Topicsdiscussedinclude thekineticsoftheelectromagneticradiationintheUniverse,theionizationhistoryof cosmicplamas,theoriginofprimordialperturbationsinlightoftheinflationparadigm, andtheformationofanisotropyandpolarizationoftheCMB. This timely and accessible review will be valuable to advanced students and researchersincosmology.Thetexthighlightstheprogressmadebyrecentexperiments, includingtheWMAPsatellite,andlooksaheadtofutureCMBexperiments. pavel naselsky is a research scientist and associate professor at the Niels Bohr InstituteandattheRostovStateUniversity,Russia.Hehaswrittenover100paperson CMBphysicsandcosmology,andhastaughtanadvancedcourseon‘Anisotropyand polarizationoftheCMB’.HeisamemberoftheESAtechnicalworkinggroupofthe PLANCKproject. dmitry novikovisanastronomerandresearchassociateattheAstrophysicsGroup ofImperialCollegeLondonandalsoaresearchscientistattheAstroSpaceCenterofthe P.N.LebedevPhysicsInstitute,Moscow.Hismainresearchinterestsandpublications areincosmologyandastrophysics. igor novikovisaprofessoratCopenhagenUniversityandwasDirectoroftheThe- oreticalAstrophysicsCenterpriortoitstransfertotheNielsBohrInstitute.Heisalso a research scientist at the Astro Space Center of the P. N. Lebedev Physics Institute, Moscow.Hismainresearchhasbeenongravitation,physicsandastrophysicsofblack holes,cosmologyandphysicsoftheCMB.Hehasbeenactivelyinvolvedinthetheory oftheanisotropyoftheCMBanddevelopmentofthetheorywithapplicationstothe observationsfromspace-andground-basedtelescopes. CambridgeAstrophysicsSeries Serieseditors AndrewKing,DouglasLin,StephenMaran,JimPringleandMartinWard Titlesavailableinthisseries 7. SpectroscopyofAstrophysicalPlasmas editedbyA.DalgarnoandD.Layzer 10. QuasarAstronomy byD.W.Weedman 17. MolecularCollisionsintheInterstellarMedium byD.Flower 18. PlasmaLoopsintheSolarCorona byR.J.Bray,L.E.Cram,C.J.DurrantandR.E.Loughhead 19. BeamsandJetsinAstrophysics editedbyP.A.Hughes 22. Gamma-rayAstronomy2ndEdition byP.V.RamanaMurthyandA.W.Wolfendale 23. TheSolarTransitionRegion byJ.T.Mariska 24. SolarandStellarActivityCycles byPeterR.Wilson 25. 3K:TheCosmicMicrowaveBackgroundRadiation byR.B.Partridge 26. X-rayBinaries byWalterH.G.Lewin,JanvanParadijsandEdwardP.J.vandenHeuvel 27. RRLyraeStars byHoraceA.Smith 28. CataclysmicVariableStars byBrianWarner 29. TheMagellanicClouds byBengtE.Westerlund 30. GlobularClusterSystems byKeithM.AshmanandStephenE.Zepf 32. AccretionProcessesinStarFormation byLeeW.Hartmann 33. TheOriginandEvolutionofPlanetaryNebulae bySunKwok 34. SolarandStellarMagneticActivity byCarolusJ.SchrijverandCornelisZwaan 35. TheGalaxiesoftheLocalGroup bySidneyvandenBergh 36. StellarRotation byJean-LouisTassoul 37. ExtremeUltravioletAstronomy byMartinA.BarstowandJayB.Holberg 38. PulsarAstronomy3rdEdition byAndrewG.LyneandFrancisGraham-Smith 39. CompactStellarX-RaySources editedbyWalterH.G.LewinandMichielvanderKlis 40. EvolutionaryProcessesinBinaryandMultipleStars byPeterEggleton THE PHYSICS OF THE COSMIC MICROWAVE BACKGROUND PAVEL D. NASELSKY NielsBohrInstitute,CopenhagenandtheRostovStateUniversity DMITRY I. NOVIKOV ImperialCollegeLondonandtheP.N.LebedevPhysicsInstitute,Moscow IGOR D. NOVIKOV NielsBohrInstitute,CopenhagenandtheP.N.LebedevPhysicsInstitute,Moscow TranslatedbyNinaIskandarianandVitalyKisin    Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo Cambridge University Press TheEdinburghBuilding,Cambridge,UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridg e.org /9780521855501 © P. D. Naselsky, D. I. Novikov and I. D. Novikov 2006 Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionof relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. Firstpublishedinprintformat 2006 - ---- eBook(EBL) - --- eBook(EBL) - ---- hardback - --- hardback Cambridge University Press has no responsibility for the persistence or accuracy of s forexternalorthird-partyinternetwebsitesreferredtointhispublication,anddoesnot guaranteethatanycontentonsuchwebsitesis,orwillremain,accurateorappropriate. TheevolutionoftheUniversecanbecomparedtoadisplayoffireworksthathasjustended: somefewwisps,ashesandsmoke.Standingonawell-chilledcinder,weseetheslowfading ofthesuns,andtrytorecallthevanishedbrillianceoftheoriginoftheworlds. Abbe´ George-HenriLemaˆıtre,thelate1920s Contents PrefacetotheRussianedition pagexi PrefacetotheEnglishedition xv 1 Observationalfoundationsofmoderncosmology 1 1.1 Introduction 1 1.2 CurrentstatusofknowledgeaboutthespectrumoftheCMB intheUniverse 6 1.3 ThebaryoniccomponentofmatterintheUniverse 16 2 KineticsofelectromagneticradiationinauniformUniverse 33 2.1 Introduction 33 2.2 RadiationtransferequationintheUniverse 34 2.3 ThegeneralizedKompaneetsequation 38 2.4 Comptondistortionofradiationspectrumoninteractionwith hotelectrons 39 2.5 RelativisticcorrectionoftheZeldovich–Sunyaeveffect 40 2.6 ThekinematicZeldovich–Sunyaeveffect 44 2.7 DeterminationofH fromthedistortionoftheCMBspectrumand 0 thedataonx-rayluminosityofgalaxyclusters 46 2.8 Comptonizationatlargeredshift 47 3 TheionizationhistoryoftheUniverse 53 3.1 Theinevitabilityofhydrogenrecombination 53 3.2 Standardmodelofhydrogenrecombination 57 3.3 Thethree-levelapproximationforthehydrogenatom 58 3.4 Qualitativeanalysisofrecombinationmodes 61 3.5 Detailedtheoryofrecombination:multilevelapproximation 63 3.6 Numericalanalysisofrecombinationkinetics 68 3.7 SpectraldistortionoftheCMBinthecourseofcosmological recombination 75 3.8 Theinevitabilityofhydrogenreionization 78 3.9 Typeofdarkmatteranddetailedionizationbalance 80 3.10 Mechanismsofdistortionofhydrogenrecombinationkinetics 88 3.11 Recombinationkineticsinthepresenceofionizationsources 90 vii viii Contents 4 PrimordialCMBandsmallperturbationsofuniform cosmologicalmodel 94 4.1 Radiationtransferinnon-uniformmedium 94 4.2 Classificationoftypesofinitialperturbations 96 4.3 Gaugeinvariance 100 4.4 Multicomponentmedium:classificationofthetypesof scalarperturbations 102 4.5 Newtoniantheoryofevolutionofsmallperturbations 111 4.6 Relativistictheoryoftheevolutionofperturbationsinthe expandingUniverse 115 4.7 Sakharovmodulationsofthespectrumofdensityperturbations inthebaryonicUniverse 121 4.8 Sakharovoscillations:observationofcorrelations 127 5 Primaryanisotropyofthecosmicmicrowavebackground 129 5.1 Introduction 129 5.2 TheSachs–Wolfeeffect 131 5.3 TheSilkandDopplereffectsandtheSakharovoscillations oftheCMBspectrum 147 5.4 C(l)asafunctionoftheparametersofthecosmologicalmodel 155 6 Primordialpolarizationofthecosmicmicrowavebackground 163 6.1 Introduction 163 6.2 Electricandmagneticcomponentsofthepolarizationfield 168 6.3 Localandnon-localdescriptionsofpolarization 170 6.4 Geometricrepresentationofthepolarizationfield 173 7 Statisticalpropertiesofrandomfieldsofanisotropyand polarizationintheCMB 179 7.1 Introduction 179 7.2 SpectralparametersoftheGaussiananisotropyfield 180 7.3 LocaltopologyoftherandomGaussiananisotropyfield:peakstatistics 183 7.4 Signalstructureintheneighbourhoodofminimaandmaxima oftheCMBanisotropy 187 7.5 Peakstatisticsonanisotropymaps 188 7.6 Clusterizationofpeaksonanisotropymaps 194 7.7 Minkowskifunctionals 197 7.8 StatisticalnatureofthesignalintheBOOMERANGand MAXIMA-1data 204 7.9 Simplestmodelofanon-Gaussiansignalanditsmanifestation inMinkowskifunctionals 207 7.10 Topologicalfeaturesofthepolarizationfield 211 8 TheWilkinsonMicrowaveAnisotropyProbe(WMAP) 216 8.1 Missionandinstrument 216 8.2 Scientificresults 217

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