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时间:2019-03-08
《Gauge Invariance and Massless Gauge Particles in Spinor Theory.pdf》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、ILNUOVOCIMENTOVOL.4A,N.221Luglio1971GaugeInvarianceandMasslessGaugeParticlesinSpinorTheory.H.SALLE~Max-Planck-Institut]i&PhysikundAstrophysi]~-Miinchen(ricevutol'lFebbrMoI971)Summary.--Itisshownthatgaugeinvarianccinspinortheory--achievedbyappropriatedefinitionoftheproductofthre
2、eyfsatonespace-timepoint--involvesvectorbosonsofmasszerowiththerespectivequantumnumbers.Thesebosonsareconstructedexplicitlyinfirstapproximation.Introduction.Itisawell-knownfactthatgaugetransformationswithspace-time-depen-dentfunctionscanbeincorpora*edinatheory--e.g,eleetrodynam
3、ieswithDiraespinors--ifweintroduceatthesametimeavectorfieldwiththequantumnumbersgivenbythegaugetransformation.RecentlyDtiRRandWI~TEI¢(1)haveshownthattheinteractioninaspinorequationcanbedefinedinsuchawaythatwegetgaugeinvariancewithoutexplicitlyintroducinggaugepar-ticlesofmasszer
4、o.Itisinterestingtoseethatthispossibilityisconnectedcloselywiththearbitrarinessinthedefinitionoftheproductofseveralfieldoperatorsatonespace-timepoint.Thequestionisraisednowiftheinverseistrue:Doesthereinsuchatheoryexistnecessarilyabosonofmasszero?If~hiswere~ruewewouldhaveapossib
5、ilitytoestablish,e.g.,thephotonina(1)H.P.DT2RRandH.WINTER:~UOVOCimento,70A,467(1970).4O4GA]JG]~INVARIANCEAN]:)MASSLESSGAUGEPARTICL]~SINSPINORTHEORY~0~spinortheoryasagaugepaI~icleconnectedwiththegaugetransformationy~(x)~-~exp[i~(x)l~2~]W(x).Itprovespossible--atleastin~firstappro
6、ximation--toshowtheexistenceofmasslessbosonsconnectedwiththegaugetransformation.Atfirstwehavetodefinethelocalproductofthreespinorfieldsinsuchawayastogetcon-sistencywiththeansatzforthefermionpropagator(Sect.1).Thenwehavetotakethecorrec~valueforthecouplingconstanttoguaranteegauge
7、inva-riance(Sect.2).Theseconditionsyieldwell-definedbosonequationswithmasslessbosonsconnectedwiththegaugetransformation(Sect.3).l.-Redefinitionofthespinorequation.Wewritedownthespinorequationintheform(1.1)(i~+z)~(x)÷:V~w(~V,~):(x)=oandweshallassumetheFasaspinorpotentiM(1,2).The
8、physicalfieldsZariseonlyafterderivationorbytakingcaref
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