Introduction to Particles and Fields

Syllabus

• 1+3 dimensional Minkowski  spacetime.
• Rotation, Lorentz, and Poincare groups.
• Wigner little group.
• Casimir operators and particle classification.
• Mass, spin and helicity.
• The Klein-Gordon equation.
• The Lagrangian formalism in field theory.
• Real and complex scalar fields.
• Symmetries and coservation laws.
• Global U(1) and SU(2) symmetries.
• Local U(1) symmetry, covariant derivatives.
• Minimal coupling and gauge invariance.
• Lagrangian formalism for the electromagnetic field.
• The strong and the electro/weak interactions.
• Mesons, Baryons and Leptons.
• Isospin, Hypercharge, strangeness and Unitary symmetry.
• Ne'eman-GellMann SU(3): The Eightfold way.
• The Quark model, predictions and problems.
• Pauli exclusion principle and the need for Color.
• Weinberg-Salam model, Quantum Chromodynamics, Grand Unification, and all that...

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