advanced_quantum_field_theory_roberto_ca(1)

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1、AdvancedQuantumFieldTheoryRobertoCasalbuoniDipartimentodiFisicaUniversitadiFirenzeLecturesgivenattheFlorenceUniversityduringtheacademicyear1998/99.ContentsIndex......................................11NotationsandConventions41.1Units....................................41.2Relativi

2、tyandTensors..........................61.3TheNoether'stheoremforrelativisticelds..............61.4FieldQuantization............................91.4.1TheRealScalarField.......................101.4.2TheChargedScalarField....................121.4.3TheDiracField......................

3、....141.4.4TheElectromagneticField....................171.5PerturbationTheory...........................271.5.1TheScatteringMatrix......................271.5.2Wick'stheorem..........................291.5.3Feynmandiagramsinmomentumspace.............301.5.4Thecross-section..........

4、...............332One-looprenormalization362.1DivergencesoftheFeynmanintegrals..................362.2Higherordercorrections.........................382.3Theanalysisbycounterterms......................452.4DimensionalregularizationoftheFeynmanintegrals..........522.5Integrationinar

5、bitrarydimensions...................542.6OneloopregularizationofQED.....................562.7Onelooprenormalization.........................633VacuumexpectationvaluesandtheSmatrix733.1In-andOut-states............................733.2TheSmatrix...............................793.3Th

6、ereductionformalism.........................814Pathintegralformulationofquantummechanics854.1Feynman'sformulationofquantummechanics.............854.2Pathintegralincongurationspace...................8814.3Thephysicalinterpretationofthepathintegral............914.4Thefreeparticle..

7、...........................974.5Thecaseofaquadraticaction......................994.6Functionalformalism...........................1044.7Generalpropertiesofthepathintegral.................1074.8ThegeneratingfunctionaloftheGreen'sfunctions...........1134.9TheGreen'sfunctionsfortheha

8、rmonicoscillator...........1165Th