hamber,quantum gravitation the feynman path integral approach

hamber,quantum gravitation the feynman path integral approach

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时间:2019-01-10

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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

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