资源描述：
《非对易空间带任意电荷量子电动力学》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、http://www.paper.edu.cnQuantumElectrodynamicswitharbitrarychargeonnoncommutativespace1,2,*2,3,†1,2.‡Wan-PingZhou,Shao-hongCaiZheng-WenLong1DepartmentofPhysics,GuiZhouUniversity,GuiYang550025,PRChina2LaboratoryforPhotoelectricTechnologyandApplication,GuiZhouUniversity,GuiYang550
2、025,PRChina3CollegeofFinanceandEconomicsGuiZhouUniversity,GuiYang550025,PRChinaUsingtheSeiberg-WittenMap.Weobtainaquantumelectrodynamicsonnonocommutativespace,whichhasarbitrarychargeandthegaugeinvariantisalsokeptattheleadingorderoftheta.Theone-loopdivergenceandComptonScattering
3、arereinvestigated.ThenoncommutativeeffectismuchmoreremarkablethentheordinarynonocommutativequantumelectrodynamicsPACSnumbers:11.10.Nx,12.20.-mKeywords:noncommutative,QuantumElectrodynamics,charge*Electronicaddress:zzzwp917@sohu.com†Electronicaddress:aa.shcai@gzu.edu.cn‡Electron
4、icaddress:sci.zwlong@gzu.edu.cn1http://www.paper.edu.cnⅠⅠⅠ.INTRODUCTION[1]Theideathatthecoordinatesarenoncommutative(NC)hasalonghistory.Ithasbeenthoughtasawaytoeliminatetheinfiniteinquantumfieldbyprovidingnaturalcutoff,butthesuccessofrenormalizationmakestheideaobscure.[2]Inthep
5、astfewyears,noncommutativityhasattractedmuchattention.Itiswidelyacceptedthatopen[2,3]string’sendisattachontheD-brane,wherethebackgroundNeveu-SchwarzBfieldexist.Itmakesthestring’s[2,4-6][2]coordinatesnoncommutative,andgivesanextrafactorofphasetothescatteringamplitude.Theopenstri
6、ngtheoryindicatesthatwemustreplacetheordinaryproductineffectiveactionsbystarproductiij¶¶f(x)*g(x)=exp(q)f(x+x)g(x+h),(1)ij2¶x¶hV,h=0ijWhereqisthefuctionofBfield.Usingthestarproduct,wecanobtainthecommutatorofcoordinatesmnmnnmmn[x,*x]=x*x-x*x=iq.(2)Replacingtheordinaryproductinth
7、egaugefieldactionsbystarproduct,wewouldgetnoncommutativegauge[7-15]theory.ThesimplestnoncommutativegaugetheoryistheNCU(1)theory,Ithastwoimportant[14-15]propertys.Oneisthetheoryisn’tLorentzinvariance,theotheristhenewvertexsuchasthreeandfourphotonself-interactionareintroduced.Iti
8、ssimilartothenon-abeliantheoryandrenormalizableatsingl
