PH 6418/ EP4618: Quantum Field Theory

This is an introductory course on Quantum Field Theory. It covers quantization of scalar fields in detail and towards the very end of the course also introduces elements of Quantum Electrodynamics. The topics covered are: Free real and complex scalar fields, Canonical quantization, Interacting scalar fields. Feynman propagator, n-point correlation functions and their perturbative expansion, the S-Matrix and its expansion in Feynman diagrams, Kallen-Lehmann spectral representation, LSZ reduction. Cross-section and its connection to the S-Matrix. Renormalization, Dimensional regularization, Phi-4 theory at one-loop. Dirac Equation, Quantization of Electromagnetic fields, Gauge invariance, Elements of quantum Electrodynamics. Feynman rules and Feynman diagram for spinor electrodynamics.