非交换几何、量子场论与动机(主题)(孔涅)

非交换几何、量子场论与动机(主题)(孔涅)

ID:14694712

大小:6.48 MB

页数:705页

时间:2018-07-29

非交换几何、量子场论与动机(主题)(孔涅)_第页
预览图正在加载中,预计需要20秒,请耐心等待
资源描述:

《非交换几何、量子场论与动机(主题)(孔涅)》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、NoncommutativeGeometry,QuantumFieldsandMotivesAlainConnesMatildeMarcolliA.Connes:CollegedeFrance,3,rued'Ulm,Paris,F-75005France,µI.H.E.S.andVanderbiltUniversityE-mailaddress:alain@connes.orgM.Marcolli:Max{PlanckInstitutfurMathematik,Vivatsgasse7,ÄBonn,D-53111Germa

2、nyE-mailaddress:marcolli@mpim-bonn.mpg.deContentsPreface9Chapter1.Quantum¯elds,noncommutativespaces,andmotives171.Introduction172.BasicsofperturbativeQFT222.1.LagrangianandHamiltonianformalisms232.2.LagrangianandtheFeynmanintegral252.3.TheHamiltonianandcanonicalqu

3、antization262.4.Thesimplestexample282.5.Green'sfunctions312.6.WickrotationandEuclideanGreen'sfunctions323.Feynmandiagrams353.1.Thesimplestcase363.2.Theoriginsofrenormalization403.3.Feynmangraphsandrules433.4.ConnectedGreen'sfunctions473.5.Thee®ectiveactionandone-p

4、articleirreduciblegraphs483.6.Physicallyobservableparameters523.7.Thephysicsideaofrenormalization544.Dimensionalregularization565.ThegraphbygraphmethodofBogoliubov{Parasiuk{Hepp{Zimmermann625.1.Thesimplestexampleofsubdivergence635.2.Super¯cialdegreeofdivergence675

5、.3.Subdivergencesandpreparation686.TheConnes{Kreimertheoryofperturbativerenormalization746.1.CommutativeHopfalgebrasanda±negroupschemes756.2.TheHopfalgebraofFeynmangraphs:discretepart786.3.TheHopfalgebraofFeynmangraphs:fullstructure856.4.BPHZasaBirkho®factorizatio

6、n886.5.Di®eographismsanddi®eomorphisms936.6.Therenormalizationgroup957.RenormalizationandtheRiemann{Hilbertcorrespondence1007.1.Countertermsandtime-orderedexponentials1017.2.Flatequisingularconnections1077.3.EquivariantprincipalbundlesandthegroupG¤=GoGm1167.4.Tann

7、akiancategoriesanda±negroupschemes1217.5.Di®erentialGaloistheoryandthelocalRiemann{Hilbertcorrespondence1247.6.UniversalHopfalgebraandtheRiemann{Hilbertcorrespondence1283CONTENTS48.Motivesinanutshell1368.1.Algebraicvarietiesandmotives1368.2.Puremotives1448.3.Mixed

8、motives1488.4.MixedHodgestructures1528.5.Tatemotives,periods,andquantum¯elds1559.TheStandardModelofelementaryparticles1569.1.Particlesandinteractions158

当前文档最多预览五页,下载文档查看全文

此文档下载收益归作者所有

当前文档最多预览五页,下载文档查看全文
温馨提示:
1. 部分包含数学公式或PPT动画的文件,查看预览时可能会显示错乱或异常,文件下载后无此问题,请放心下载。
2. 本文档由用户上传,版权归属用户,天天文库负责整理代发布。如果您对本文档版权有争议请及时联系客服。
3. 下载前请仔细阅读文档内容,确认文档内容符合您的需求后进行下载,若出现内容与标题不符可向本站投诉处理。
4. 下载文档时可能由于网络波动等原因无法下载或下载错误,付费完成后未能成功下载的用户请联系客服处理。