a rotating quantum vacuum

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1、ARotatingQuantumVacuumV.A.DeLorenci1andN.F.Svaiter2CentroBrasileirodePesquisasF´ısicas,RuaDr.XavierSigaud,150,UrcaRiodeJaneiroCEP22290-180-RJ.Brazil.AbstractWeinvestigatehowauniformlyrotatingframeisdefinedastherestframeofanobserverrotatingwithconstantangularvelocityΩa

2、roundthezaxisofaninertialframe.AssumingthatthisframeisaLorentzone,wesecondquantizeafreemasslessscalarfieldinthisrotatingframeandobtainthatcreation-anihilationoperatorsofthefieldarenotthesameasthoseofaninertialframe.Thisleadstoanewvacuumstate—arotatingvacuum—whichisasup

3、erpositionofpositiveandnegativefrequencyMinkowskiparticles.Afterthis,introducinganapparatusdevicecoupledlinearlywiththefieldweobtainthatthereisastrongcorrelationbetweennumberofrotatingparticles(inagivenstate)obtainedviacanonicalquantizationandviaresponsefunctionofther

4、otatingdetector.Finally,weanalysepolarizationeffectsincircularacceleratorsintheproperframeoftheelectronmakingaconnectionwiththeinertialframepointofview.arXiv:hep-th/9612006v323Jan1998Pacsnumbers:04.62.+v,03.65.Bz1lorenci@lafex.cbpf.br2nfuxsvai@lafex.cbpf.br11Introduct

5、ion1.1IntroductoryRemarksThepurposeofthispaperistodiscussthepuzzleoftherotatingdetector[1]andtorelatethistopolarizationeffectsofelectronsinstoragerings[2].Wetrytoavoidmanytechnicaldifficultiestoemphasizeonlyfundamentalresults.Themostimportantstepinthedevelopmentofgenera

6、lrelativityfromspecialrelativ-ityistoaccepttheideathatispossibletodiscussphysics—andcomparemeasurements—notonlybetweeninertialframesbutalsobetweenanyarbitraryframesofreferences.ItisnaturaltoaskhowtosecondquantizeanyfieldinanarbitraryframeinMinkowskispacetime.Notethatt

7、heprincipleofgeneralcovariancerequirethatphysicallyobserv-ablesarealwaysexpressibleincoordinateindependentfashion.Thedevelopmentofsuchideasintroduceaplethoraofnewphenomena.OneoftheseistheUnruh-Davieseffect[3,4].AnuniversaldefinitionofthevacuumforasystemdescribedbyaHami

8、ltonianisthatthevacuumisthelowestenergystate.Iftodescribethesystemweuseafinitenumberofdegreesoffreedom,allrepresentationsoftheoperat