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1、HolographyforCosmologyPaulMcFadden∗andKostasSkenderis†InstituteforTheoreticalPhysics,Valckenierstraat65,1018XEAmsterdam.(Dated:Jan13,2010)Weproposeaholographicdescriptionoffour-dimensionalsingle-scalarinflationaryuniverses,andshowhowcosmologicalobservables,suchastheprimordialpowers
2、pectrum,areencodedinthecor-relationfunctionsofathree-dimensionalquantumfieldtheory(QFT).Theholographicdescriptioncorrectlyreproducesstandardinflationarypredictionsintheregimewhereaperturbativequanti-zationoffluctuationsisjustified.Intheoppositeregime,whereingravityisstronglycoupledate
3、arlytimes,weproposeaholographicdescriptionintermsofperturbativelargeNQFT.Initiatingaholographicphenomenologicalapproach,weshowthatmodelscontainingonlytwoparameters,Nandadimensionfulcouplingconstant,arecapableofsatisfyingthecurrentobservationalconstraints.PACSnumbers:11.25.Tq,98.80
4、.CqIntroduction.Overthelasttwodecadesstrikingnewconstructingnewmodelswithintrinsicstrong-couplingobservationshavetransformedcosmologyfromaquali-gravitationaldynamicsatearlytimesthathaveonlyatativetoquantitativescience.Aminimalsetofcosmo-weaklycoupledthree-dimensionalQFTdescription
5、andlogicalparameterscharacterizingtheobserveduniverse,arethusoutsidetheclassofmodeldescribedbystandardtheconcordancecosmology,havenowbeenmeasuredtoinflation.Suchmodelsmaywellleadtoqualitativelydif-withinafewpercent[1].Theseobservationsrevealaferentpredictionsforthecosmologicalobser
6、vablesthatspatiallyflatuniverse,endowedwithsmall-amplitudepri-willbemeasuredinthenearfuture.mordialperturbationsthatareapproximatelyGaussianAnyholographicproposalshouldspecifywhatthedualandadiabaticwithanearlyscale-invariantspectrum.QFTisandhowtouseittocomputecosmologicalob-Thesefin
7、dingsareconsistentwiththegenericpredictionsservables.Theholographicdescriptionweproposeusesofinflationarycosmologyandsetinflationasthelead-theone-to-onecorrespondencebetweencosmologiesandingtheoreticalparadigmfortheinitialconditionsofBigdomain-wallspacetimesdiscussedin[3,4]andassume
8、sBangcosmology.Withfutureobservat
