Text book: An Introduction to Quantum Field Theory, by Peskin and
Schroeder.
Sections for fall semester: 2, 3, 4, 5, 9 & 15.
Content:
Classical Field Theory.
Quantization of the Klein - Gordon field.
Causality and the Klein - Gordon propagator.
Representations of the Lorentz group.
Dirac equation.
Quantization of the Dirac field .
Discrete symmetries.
Dyson method & Wick's theorem in interacting fields.
Feynman diagrams.
Cross section and S-matrix.
Computing S-matrix from Feynman diagrams.
Fermions, Yukawa theory.
Feynman rules for QED and Coulomb potential.
Elementary processes of QED (Trace technology, Helicity structure, Crossing symmetry, Mandelstam variables,
Photon polarization sums, Ward identity
& High energy behaviors).
Functional method (Feynman rules, Generating functional, Electromagnetic fields,
Spinor fields, Functional determinant &
Schwinger-Dyson equations).
Basic Lie Algebra.
The geometry of gauge invariance.
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Assignments:Series 5.
Dead-line:
Series 5 = 26th of Azar.