量子场论笔记与习题(Ⅱ)

《量子场论笔记与习题(Ⅱ)》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、教材：M.E.Peskin,D.V.Schroeder,AnIntroductiontoQuantumFieldTheory参考书：L.H.Ryder,QuantumFieldTheoryABrifeReviewandIntroductionⅠ、Review1、经典力学其中：；其中：正则框架：2、量子力学3、相对论量子力学过渡理论①K-GEq：描述spin-zero②DiracEq：描述spin-1/2③MaxwellEq：描述spin-14、量子场论基础Action：其中：Euler-LagrangeEq：MomentumDensityCon

2、jugate：Hamiltonian：；正则量子化：RealScalarField：；其中：；Hamiltonian：场粒子性5、量子电动力学Def：theGaugeDerivative：LocalGaugeTransformation：and5、微扰量子场论；为弱耦合FeynmanDiagram：FeynmanRuleforQED：S-Matrix：QED过程：(1)(2)ComptonScatteringSpinSums：WaldIdentity：Ⅱ、Introductions7、圈图发散重整化8、非阿贝尔规范场理论WeakInteract

3、ionsandStrongInteractionsWeakInteractions：BetaDecay：FourFermionTheory不可重整StrongInteractions：介子理论：(YukawaTheory)弱电统一理论（Weinberg-SalamModel）：整理与2011-2-26Chapter6FunctionalMethodsPathIntergralMethods(1-dimensional)时间演化算符：满足：ClassicalPath：猜想：双缝实验：Path1：；；Path1：；；联立两式，可得德布罗意关系：验证

4、：计算积分：展开：利用积分公式：；；；；得：取极限：故而：可使之满足同样的方程和初始条件，因此：整理于2011-3-1推广到多自由度的情况：；；插入中间态：分析两种情况：①：②：FunctionalQuantizationofScalarFieldCorrelationFunctions：Considerthefunctionalformula：Ifthenwehave：Withthecompletenessrelation：：Thusweobtainthesimpleformula：整理于2011-3-6FunctionalDerivativ

5、esandGeneratingFunctionalThefunctionalderivativeobeysthebasicaxiom(Infourdimensions)：Example：（表面项相当于变分常数）GenerationgFunctionalofcorrelation：Def：Sothat：Thereforethetwo-pointfunctionis：Forfreescalarfield：Therefore：WiththeGaussianintergrationformulae：Wherearematrixes.Thereforet

6、hetwo-pointfunctionshouldbe：Where：def：Wecancheckthese：isnothingbutthetheGreenFunctionoftheKlein-Gordonoperator.Inanotherway,wecancompletethesquarebyintroducingashiftedfield：Usingthesewehave：FreeField：Fortheory：Wherewemake：Forthevertex：整理于2011-3-7QuantizationoftheElectromagne

7、ticField﹡ThedifficutliesofquestinggaugefieldTransformationofthegaugefield：Lagrangianofelectromagnetic：Thereforetheconjugatemomentum：However：sowecannotwritedownthecommutationrelationslike：Pathintergralformula：FourierTransformation：Howeverifwedefine：Thatmeans：Therefore：不可逆。The

8、reforethepropagatorofelectromegneticfieldisnotwelldefined.Faddeev–PopovTric