Quantum Field Theory/Transformational properties of fields

< Quantum Field Theory


Relativity principle and the group of coordinate transformations. The group of Lorentz transformations.Edit

Lie groups and Lie algebras. Lie algebra of the Rotation Group. Lie algebra of the Lorentz Group.Edit

Group Representations. Irreducible representations of the rotation group. Direct product of two irreducible representations. Reduction of the direct product into a direct sum -- Clebsch-Gordan theorem.Edit

Irreducible representations of the Lorentz group. Direct product of two irreducible representations.Edit

Parity transformation. Bilinear forms of bispinors. Dirac matrices.Edit