Lectures on Classical and Quantum Theory of Fields

Henryk Arodz, Institute of Physics, Jagiellonian University, prof. Stanisława Łojasiewicza 11, 30-348 Kraków Poland Leszek Hadasz Institute of Physics, Jagiellonian University, prof. Stanisława Łojasiewicza 11, 30-348 Kraków Poland

• Introduction.- The Euler–Lagrange Equations and Noether’s Theorem.- Scalar Fields.- Vector Fields.- Relativistic Spinor Fields.- The Quantum Theory of Free Fields.- Perturbative Expansion in the φ44 Model.- Renormalization.- The Renormalization Group.- Relativistic Invariance and the Spectral Decomposition of G(2).- Paths Integrals in QFT.- The Perturbative Expansion for Non-Abelian Gauge Fields.- The Simplest Supersymmetric Models.- Anomalies.- Appendices: Some facts about generalized functions.