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Quantum field theories emerged from
the confluence of quantum mechanics and special relativity, and provide an
amazingly accurate theoretical framework for describing the behaviour of
subatomic particles and forces. This course will give an introduction into
quantum field theory, both conceptually and technically. Canonical and
covariant quantization methods will be discussed, with an emphasis on the path
integral formulation, which finds manifold applications in both particle
physics and condensed matter systems. Topics covered include the
quantum-mechanical path integral, the quantization of bosonic and fermionic
fields, functional techniques involving generating functionals and correlators,
and perturbation theory in terms of Feynman diagrams.
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