PHYS-431: Quantum field theory I

Lectures in this course (65)

Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.

Covers Lie algebra, bilinearity, Jacobi identity, and Ado's theorem.

Explores the significance of the Jacobi identity in Lie algebra and its impact on linear vector spaces.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Explores deriving conserved currents in classical and quantum field theory, emphasizing symmetries and equations of motion.

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.

Explores complex scalar fields under SU(2) symmetry and Noether's current computation.

Covers the Noether currents, Lorentz symmetry, and field quantization in quantum field theory.

Covers Lie theorems, group algebra, Ado's theorem, and spacetime symmetries.

Delves into Lie algebra representation and Lorentz subgroup concepts.

Explores the Poincaré group and Lorentz subgroup in theoretical physics.

Covers exercises on ladder operators, Lorentz invariance, Noether charges, and custodial symmetry in quantum field theory.

Explores Fourier modes in Quantum Field Theory, emphasizing variables transforming well under translations and the normalization of states.

Explores the Heisenberg representation of a free massive real scalar field and the time independence of Noether charges.

Covers relativistically normalized states, Lorentz invariance, and scalar field representations in quantum field theory.

Covers the Lie algebra of the Lorentz group, focusing on boosts, rotations, and transformations.

Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.

Explores Lie groups, scalar fields, and vector spaces transformations.

Covers the most general representation of Lorentz group on spinorial fields.

Covers exercises on quantum field theory and fundamental vectors in group transformations.

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