This course introduces the foundations of quantum field theory as a universal framework for describing quantum interactions. Topics include canonical quantization of scalar, spinor, and vector fields, symmetries and conservation laws, as well as propagators and discrete transformations.
The course covers perturbation theory methods: the interaction picture, construction of the S-matrix, Wick’s theorem, Feynman diagram techniques, and Feynman rules for fermionic and electromagnetic fields. Spontaneous symmetry breaking, the Goldstone theorem, and quantization in different gauges are also discussed.
Students will acquire the mathematical and computational tools necessary for further study of the Standard Model, quantum chromodynamics, and modern interaction theories.