Minkowski spacetime.
Rotation, Lorentz, and Poincare groups.
Wigner little group.
Casimir operators and particle classification.
Mass, spin and helicity.
The Klein-Gordon equation.
The Dirac 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.
Flavor, color and the standard model.

• 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...