Foundations of Quantum Field Theory. Klaus D Rothe

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СКАЧАТЬ Klein Paradox

       6.5Foldy–Wouthuysen Transformation

       7Second Quantization

       7.1Fock-space representation of fields

       7.2Commutation relations

       7.3P, C, T from equations of motion

       7.4P, C, T in second quantization

       8Canonical Quantization

       8.1Lagrangian formulation and Euler–Lagrange equations

       8.2Canonical quantization: unconstrained systems

       8.3Canonical quantization: constrained systems

       8.4QED as a constrained system

       9Global Symmetries and Conservation Laws

       9.1Noether’s Theorem

       9.2Internal symmetries

       9.3Translational invariance

       9.4Lorentz transformations

       10The Scattering Matrix

       10.1The S-matrix and T-matrix

       10.2Differential cross-section

       10.3LSZ reduction formula

       11Perturbation Theory

       11.1Interaction picture and U-matrix

       11.2Interaction picture representation of Green functions

       11.3Wick theorems

       11.42-point functions

       11.5Feynman Diagrams for QED

       11.6Furry’s theorem

       11.7Going over to momentum space

       11.8Momentum space Feynman rules for QED

       11.9Moeller scattering

       11.10The Moeller differential cross-section

       11.11Compton scattering

       12Parametric Representation of a General Diagram

       12.1Cutting rules for a general diagram

       12.2An alternative approach to cutting rules

       12.34-point function in the ladder approximation

       13Functional Methods

       13.1The Generating Functional

       13.2Schwinger’s Construction of

       13.3Feynman Path-Integral

       13.4Path-integral representation of correlators in QM

       13.5Feynman path-integral representation in QFT

       13.6Path-Integral for Grassman-valued fields

       13.7Extension to Field Theory

       13.8Mathews–Salam representation of QED generating functional

       13.9Faddeev–Popov quantization and a-gauges

       СКАЧАТЬ