Brief tentative yearly syllabus:

• Review of special theory of relativity.
• A short introduction to group theory.
• Lorentz and Poincare groups and their representations.
• Discrete symmetries of special relativity.
• Review of the structure and principles of quantum mechanics.
• Scattering and perturbation theories' general principles.
• A quick overview of canonical quantization prescription and its issues.
• The cluster decomposition principle.
• Pauli's principle.
• Creation and annihilation operators.
• Cluster decomposition and causality.
• Quantum fields and antiparticles.
• Causal massive scalar fields.
• Causal massive vector fields.
• Aspects of general causal fields.
• Masslessness and its issues.
• Quantum field theory of scalar fields.
• Vaccuum-to-vacuum amplitudes and Wick's theorem.
• Generator functions of amplitudes.
• Schwinger-Dyson equations.
• Quantum effective action and irreducible connected diagrams.
• Calculations on basic scattering and decay processes.
• Dimensional regularization of scalar quantum field theories and renormalization procedure. Explicit calculations in one loop approximation.
• Path integral formalism and its applications to quantum field theory.
• Quantization of free spin 1/2 particles.
• Issues on quantization of massless vector fields and gauge theories.
• Path integral quantization of spinor electrodynamics a la Fadeev and Popov, BRST symmetry.
• One loop renormalization of quantum electrodynamics via dimensional regularization.
• One loop predictions of quantum electrodynamics.
• Basic aspects of quantization of non-abelian gauge theories and BRST symmetries.
• Short introduction to the standard model of particle physics.