quantum-field-theory-by-john-norbury.pdf

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1、QUANTUMFIELDTHEORYProfessorJohnW.NorburyPhysicsDepartmentUniversityofWisconsin-MilwaukeeP.O.Box413Milwaukee,WI53201November20,20002Contents1LagrangianFieldTheory71.1Units................................71.1.1NaturalUnits.......................71.1.2GeometricalUnits.......

2、.............101.2CovariantandContravariantvectors..............111.3Classicalpointparticlemechanics................121.3.1Euler-Lagrangeequation.................121.3.2Hamilton'sequations...................141.4ClassicalFieldTheory......................151.5Noether'sTheo

3、rem........................181.6SpacetimeSymmetries......................241.6.1InvarianceunderTranslation..............241.6.2AngularMomentumandLorentzTransformations..251.7InternalSymmetries.......................261.8Summary.............................291.8.1Covariant

4、andcontravariantvectors..........291.8.2Classicalpointparticlemechanics............291.8.3Classical¯eldtheory...................291.8.4Noether'stheorem....................301.9ReferencesandNotes.......................322Symmetries&Grouptheory332.1ElementsofGroupTheory....

5、................332.2SO(2)...............................332.2.1TransformationPropertiesofFields..........342.3RepresentationsofSO(2)andU(1)...............352.4RepresentationsofSO(3)andSU(1)..............352.5RepresentationsofSO(N)....................3634CONTENTS3FreeKlei

6、n-GordonField373.1Klein-GordonEquation.....................373.2ProbabilityandCurrent.....................393.2.1Schrodingerequation...................393.2.2Klein-GordonEquation.................403.3ClassicalFieldTheory......................413.4FourierExpansion&Momentum

7、Space............423.5Klein-GordonQFT........................453.5.1IndirectDerivationofa;ayCommutators.......453.5.2DirectDerivationofa;ayCommutators........473.5.3Klein-GordonQFTHamiltonian............473.5.4Normalorder.......................483.5.5WaveFunction.........

8、.............503.6PropagatorTheory........................513.7ComplexKlein-GordonField.........