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1、TOPICALREVIEWObservationalissuesinloopquantumcosmologyA.Barrau1,2,T.Cailleteau3,J.Grain4,5andJ.Mielczarek6,71LaboratoiredePhysiqueSubatomiqueetdeCosmologie,UJF,CNRS/IN2P3,INPG,53,av.desMartyrs,38026Grenoblecedex,France2InstitutdesHautesEtudesScientifiques,LeBois-Marie35routedeChartres,9
2、1440Bures-sur-Yvette,France3InstituteforGravitation&theCosmos,PennState,UniversityPark,PA16802,USA4Institutd’AstrophysiqueSpatiale,UMR8617,CNRS,Orsay,France,F-914055Universit´eParis-Sud11,Orsay,France,F-914056InstituteofPhysics,JagiellonianUniversity,Reymonta4,30-059Cracow,Poland7Depar
3、tmentofFundamentalResearch,NationalCentreforNuclearResearch,Ho˙za69,00-681Warsaw,PolandE-mail:aurelien.barrau@cern.ch,thomas@gravity.psu.edu,julien.grain@ias.u-psud.frandjakubm@fuw.edu.plAbstract.Quantumgravityissometimesconsideredasakindofmetaphysicalspec-ulation.Inthisreview,weshowth
4、at,althoughstillextremelydifficulttoreach,ob-servationalsignaturescaninfactbeexpected.Theearlyuniverseisaninvaluablelaboratorytoprobe“Planckscalephysics”.FocusingonLoopQuantumGravityasoneofthebestcandidateforanon-perturbativeandbackground-independantquanti-zationofgravity,wedetailsomeexp
5、ectedfeatures.InvitedtopicalreviewforClassicalandQuantumGravity.arXiv:1309.6896v1[gr-qc]26Sep2013PACSnumbers:04.60.Pp,04.60.Kz,04.60.Bc,98.80.QcContents1Introduction32TheideasofLoopQuantumGravity42.1ReminderonHamiltonianmechanics....................42.2GRinAshtekarvariables............
6、...............72.3Theideasofthequantization........................93Loopquantumcosmology:thegeneralframework113.1Basicideas...................................113.2Withslightlymoredetails..........................13CONTENTS24MainfeaturesofthebackgroundevolutioninLQC154.1Abouncingunive
7、rse.............................154.2Abouncingandinflationaryuniverse....................185Perturbationswithholonomycorrections215.1Summaryofresults..............................265.2Holonomycorrectedalgebraofconstraints.................285.3Holonomycorrectionstotheinflationarypowersp
