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1、ModernPhysics现代物理,2014,4,62-79PublishedOnlineJuly2014inHans.http://www.hanspub.org/journal/mphttp://dx.doi.org/10.12677/mp.2014.44009QuantumVacuumEnergyandItsImplicationtoGravitationalGaugeTheoryJianqiShenCentreforOpticalandElectromagneticResearch,Zijingang
2、Campus,ZhejiangUniversity,HangzhouEmail:jqshen@zju.edu.cnthrdrdReceived:May16,2014;revised:May23,2014;accepted:Jun.3,2014Copyright©2014byauthorandHansPublishersInc.ThisworkislicensedundertheCreativeCommonsAttributionInternationalLicense(CCBY).http://creativ
3、ecommons.org/licenses/by/4.0/AbstractSinceelectromagneticgaugetheoryanditsgeneralization(Yang-Millsgaugefieldtheory)havesucceededinquantumfieldtheoryandparticlephysics,itrequiresthatthetheoryofgravitationalsobeagaugefieldtheoryundercertainlocalgaugesymmetri
4、es,e.g.,localLorentzorPoincaréinvariance.Thediscrepancybetweenunusuallylargequantumvacuumenergydensityandob-servationalcosmologymayindicatethatthegenericgravitytheoryofEinsteinisalow-energyphenomenologicaltheory,andamorefundamentaltheoryofgravitymightbehidd
5、enbehindit.Anewspin-connectiongaugetheoryforgravitationalinteractionathighenergies(closetothePlanckenergyscale)isintroduced.Insuchagravitationalgaugefieldtheory,thelocalLorentzgroupisthegaugesymmetrygroup,andthespin-affineconnectionservesasanon-Abelgaugefie
6、ld(fundamentaldynamicalvariable).Athird-orderdifferentialequationofmetriccanbeob-tainedasthegravitationalgaugefieldequation,wheretheEinsteinfieldequationofgravitationisafirst-integralsolution.Asthevacuumenergydensityisaconstant,thecovariantderivativeofitsen
7、ergy-momentumtensorunavoidablyvanishes.Therefore,thequantumvacuumenergytermdisappearsinthegravitationalgaugefieldequation,andtheanomalouslylargevacuumenergydensitydoesnotmakeapracticalcontributiontogravity.Thiswouldenableustoseekforanewroutetothelongstandin
8、gvacuum-energycosmologicalconstantproblem.Sometopicsrelevanttogravitationalgaugetheoryanditsapplicationsincosmologyarealsoaddressed.Forexample,thefive-dimensionalcosmologywithintheframeworkofthepresent
