Quantum Field Theory 1

Syllabus

• Classical and Quantum fields. Canonical quantization of Klein-Gordon field, KG propagator, Interacting fields and Feynman diagrams.
• Functional methods, Path Integral in quantum mechanics, Generating functional, Functional quantization of fields.
• Renormalization, Perturbation theory for scalar (φ 4 ) theory, Divergent Feynman diagrams, Dimensional regularization, Renormalization schemes.
• Renormalization Group equations, Wilsonian RG, Callan Symanzik equations, Running of coupling constants.
• Quantization of fermions, Path integral with fermions, Quantum Electrodynamics, Vacuum polarization.

Books

• M.E. Peskin and D.V. Schroeder, "An Introduction to Quantum Field Theory"
• P. Ramond, "Field Theory: Modern Primer"
• S. Weinberg, "The Quantum Theory of Fields "
• M. Srednicki, “Quantum Field Theorry”, available as a pdf at http://www.physics.ucsb.edu/~mark/qft.html