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1105.3735v2（Theoretical Aspects of Massive Gravity）

1105.3735v2（Theoretical Aspects of Massive Gravity）

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时间：2019-07-17

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1、TheoreticalAspectsofMassiveGravityKurtHinterbichlera;1aCenterforParticleCosmology,DepartmentofPhysicsandAstronomy,UniversityofPennsylvania,209South33rdStreet,Philadelphia,PA19104,USAAbstractMassivegravityhasseenaresurgenceofinterestduetorecentprogresswhichhasov

2、ercomeitstraditionalproblems,yieldinganavenueforaddressingimportantopenquestionssuchasthecosmologicalconstantnaturalnessproblem.Thepossibilityofamassivegravitonhasbeenstudiedonando forthepast70years.Duringthistime,curiositiessuchasthevDVZdiscontinuityandtheBoul

3、ware-Deserghostwereuncovered.Were-derivetheseresultsinapedagogicalmanner,anddeveloptheSt•ukelbergformalismtodiscussthemfromthemoderne ective eldtheoryviewpoint.Wereviewrecentprogressofthelastdecade,includingthedissolutionofthevDVZdiscontinuityviatheVainshteinsc

4、reeningmechanism,theexistenceofaconsistente ective eldtheorywithastablehierarchybetweenthegravitonmassandthecuto ,andtheexistenceofparticularinteractionswhichraisethemaximale ective eldtheorycuto andremovetheghosts.Inaddition,wereviewsomepeculiaritiesofmassiveg

5、ravitonsoncurvedspace,noveltheoriesinthreedimensions,andexamplesarXiv:1105.3735v2[hep-th]2Oct2011oftheemergenceofamassivegravitonfromextra-dimensionsandbraneworlds.1E-mailaddress:kurthi@physics.upenn.eduContents1Introduction41.1Generalrelativityismasslessspin2.

6、......................41.2Modifyinggeneralrelativity...........................71.3Historyandoutline................................102ThefreeFierz-Pauliaction132.1Hamiltoniananddegreeoffreedomcount....................142.2Freesolutionsandgravitonmodefunctions.

7、..................162.3Propagator....................................213Linearresponsetosources233.1Generalsolutiontothesourcedequations....................243.2Solutionforapointsource............................263.3ThevDVZdiscontinuity........................

8、.....284TheSt•uckelbergtrick304.1Vectorexample..................................304.2GravitonSt•ukelbergandoriginofthevDVZdiscontinuity..........334.3Masstermsas ltersanddeg

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