资源描述:
《hamber,quantum gravitation the feynman path integral approach》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、QuantumGravitationHerbertW.HamberQuantumGravitationTheFeynmanPathIntegralApproach123Prof.Dr.HerbertW.HamberUniversityofCalifornia,IrvineDepartmentofPhysicsandAstronomyFrederickReinesHallIrvine,CA92697,USAISBN:978-3-540-85292-6e-ISBN:978-3-540-85293-3LibraryofCongressControlNumber:2
2、008936266cSpringer-VerlagBerlinHeidelberg2009Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstoragein
3、databanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw.Theuseofgeneraldescriptiv
4、enames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign:eStudioCalamarS.L.Printedonacid-freepaper987654321springer.comToFranca,
5、JaneandLawrencePrefaceAlmostacenturyhasgonebysincethediscoveryofgeneralrelativityandquantummechanics,yetthegoaloffindingaconsistenttheoryofquantumgravitynonethe-lessremainselusive.Afterthetwomajortriumphsofmodernquantumfieldtheory,quantumelectrodynamicsandthequantizationofnon-abelian
6、gaugetheories(in-cludingquantumchromodynamicsandtheelectro-weaktheory)theearlyseventiesprovidedhighhopesthataquantumtreatmentofgeneralrelativitymightbearoundthecorner.However,tothedismayofmany,theresultsoft’HooftandVeltmancon-clusivelyestablishedthatquantumgravityisnotperturbativel
7、yrenormalizable,thusconfirmingearliersuspicionsbasedonpurelydimensionalarguments.Disturbingly,thedivergenceswhichappearingravityatonelooporderinthesemiclassicalexpan-sion,involvingcurvaturesquaredterms,cannotbere-absorbedintoaredefinitionofthecouplingconstants,therebymakingitdifficult
8、toderiveunambiguousstate-m