Lectures on Quantum Field Theory. Ashok Das
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2Solutions of the Dirac equation
2.2Normalization of the wave function
2.6Properties of the Dirac matrices
3Properties of the Dirac equation
3.2Covariance of the Dirac equation
3.3Transformation of bilinears
3.4Projection operators, completeness relation
3.8Non-relativistic limit of the Dirac equation
3.9Electron in an external magnetic field
3.10Foldy-Wouthuysen transformation
4Representations of Lorentz and Poincaré groups
4.2Representations of the Lorentz group
4.2.1Similarity transformations and representations
4.3Unitary representations of the Poincaré group
5Free Klein-Gordon field theory
5.5Creation and annihilation operators
5.7Physical meaning of energy eigenstates
5.9Covariant commutation relations
5.10References
6Self-interacting scalar field theory
6.1.1Space-time translation
6.2Self-interacting ϕ4 theory
6.3Interaction picture and time evolution operator
6.4S-matrix
6.5Normal ordered product and Wick’s theorem
6.6Time ordered products and Wick’s theorem
6.7Spectral representation and dispersion relation
6.8References
7.2Field decomposition
7.3Charge operator
7.4Green’s functions