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Quantum electrodynamics, QED for short, is the theory that describes the interactions of photons with charged particles, particularly electrons. It is the most precise theory in all of science. By this I mean that it makes quan-titative predictions that have been verified experimentally to remarkable accuracy.
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tum Field Theory’ and are not intended for wider distribution. Any errors or obvious omissions should be communicated to me at j.cardy1@physics.ox.ac.uk. Contents 1 A Brief History of Quantum Field Theory 2 2 The Feynman path integral in particle quantum mechanics 4 2.1 Imaginary time path integrals and statistical mechanics . . 7
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1.5 The quantum mechanical harmonic oscillator Problems 2 Classical Field Theory 2.1 From N-point mechanics to field theory 2.2 Relativistic field theory 2.3 Action for a scalar field 2.4 Plane wave solution to the Klein-Gordon equation 2.5. Symmetries and conservation laws Problems Quantum Field Theory 3.1 Canonical field quantisation
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However, to give a quantum-mechanical treatment of field theory is much more difficult and requires new concepts. Some of these concepts are straightforward generalizations of the quantum-mechanical treatment of systems based on a finite number of degrees of freedom, but others are much less obvious. At the quantum mechanical level,
