Text book: An Introduction to Quantum Field Theory, by Peskin and
Schroeder.
Sections for spring semester: 6, 7, 10, 11, 12, 16 & 19.
Content: Radiative Corrections:
Soft Bremsstrahlung, The Electron Vertex Function (evaluation, Feynman
parameters, infrared divergence),
Field-Strength Renormalization, The Electron Self-Energy The LSZ
Reduction Formula, The Optical Theorem, The Ward-Takahashi
Identity, Renormalization of the Electric Charge. Systematics of Renormalization:
Counting of Ultraviolet Divergences, Renormalized Perturbation Theory,
One-Loop Structure of
phi4 Theory, Renormalization of Quantum
Electrodynamics, One-Loop Structure of QED, Renormalization Beyond
the Leading Order. Renormalization and Symmetry:
Spontaneous Symmetry Breaking (the Linear Sigma Model, Goldstone's Theorem),
The Effective Action. The Renormalization Group:
Wilson's Approach to Renormalization Theory,
The Callan-Symanzik Equation, Evolution of Coupling Constants,
Solution of the Callan-Symanzik Equation, Renormalization of Local Operators,
Evolution of Mass Parameters. Quantization of Non-Abelian Gauge Theories:
Interactions of Non-Abelian Gauge Bosons,
The Faddeev-Popov Lagrangian, Ghosts
and Unitarity, BRST Symmetry, One-Loop Divergences of Non-Abelian Gauge
Theory, The Gauge Boson Self-Energy, Asymptotic Freedom. Perturbation Theory Anomalies: The Axial Current in Two Dimensions,
The Axial Current in Four Dimensions,
Goldstone Bosons and
Chiral Symmetries in QCD, Spontaneous Breaking of Chiral Symmetry,
Anomalies of Chiral Currents, Chiral Anomalies and
Chiral Gauge
Theories, Anomalous Breaking of Scale Invariance. Assignments:Series 3.
Dead-line:
Series 3 = 15th of Farvardin.