Quantum fields with classical perturbations

The main purpose of these notes is a review of various models of Quantum Field Theory (QFT) involving quadratic Lagrangians. We discuss scalar and vector bosons, spin 1 2 fermions, both neutral and charged. Beside free theories, we study their interactions with classical perturbations, called, depending on the context, an external linear source, mass-like term, current or electromagnetic potential. The notes may serve as a first introduction to QFT.

Note:

revised version, major additions: discussion of the CPT Theorem, fermions interacting with variable mass, derivation of the Sucher formula; 9 figures

perturbation: classical
field theory: model
potential: electromagnetic
spin: 1/2
vector boson

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