dynamical regge calculus as lattice quantum gravity

《dynamical regge calculus as lattice quantum gravity》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

1、KEK-TH-787hep-lat/0304011April2003DynamicalReggeCalculusasLatticeQuantumGravityHiroyukiHagura∗RadiationScienceCenter,HighEnergyAcceleratorResearchOrganization(KEK),Oho1-1Tsukuba-shiIbaraki305-0801,JapanAbstractWeproposeahybridmodelofsimplicialquantumgravity

2、byperformingatoncedynamicalarXiv:hep-lat/0304011v224Apr2003triangulationsandReggecalculus.Amotiveforthehybridizationistogiveadynamicaldescrip-tionoftopology-changingprocessesofEuclideanspacetime.Inaddition,latticediffeomorphismsasinvarianceofthesimplicialgeo

3、metryaregeneratedbycertainelementarymovesinthemodel.Weattemptalsoalattice-theoreticderivationoftheblackholeentropyusingthesymmetry.Fur-thermore,numericalsimulationsof3Dpuregravityarecarriedout,exhibitingalargehysteresisbetweentwophases.Wealsomeasuregeometri

4、cpropertiesofEuclidean‘timeslice’basedonageodesicdistance,resultinginafractalstructureinthestrong-couplingphase.OurhybridmodelnotonlyreproducesnumericalresultsconsistentwiththoseofdynamicaltriangulationsandReggecalculus,butalsoopensapossibilityofstudyingqua

5、ntumblackholephysicsonthelattice.∗e-mail:hiroyuki.hagura@kek.jp11IntroductionOneofthemostdifficultproblemsinmodernphysicsistheconstructionofaconsistenttheoryofquantumgravity,whereasEinstein’stheoryofclassicalgravityhasbeenverysuccessfulinexplainingthelargesca

6、lestructureofspacetime[1].Manyprogramstoformulatethefullquantumtheoryofgravityareunderactiveresearch[2,3,4].Sincenoneofthemaredecisiveatpresent,itisstillanopenproblemtounderstandwhatisquantumspacetimeatmicroscopicscales.Inthispaperweexploreapossibilitythatd

7、ynamicalReggecalculus[5,6],whichisahybridlatticemodelofdynamicaltriangulations[7,8]andquantumReggecalculus[9],givesapossiblecandidateforaconstructivedefinitionofquantumgravity.Althoughtraditionalapproaches,namely,Reggecalculusanddynamicaltriangulations,haveb

8、eenwellstudiedforalongtimeaslatticefieldtheoriesofgravity,theyarenotsatisfactoryinseveralrespects.Anecessaryenlargementofphysicaldegreesoffreedominlatticegravitystronglymotivatesourstudyonthehybridizati