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Course

PHYS-431: Quantum field theory I

Lectures in this course (65)

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 natural system of units, emphasizing Newton and Maxwell theories in CGS units and their implications in quantum mechanics.

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.

Discusses the application of action principles in classical field theory, focusing on Lagrange and Hamiltonian formulations.

Explores chirality, helicity, and spinors in Quantum Field Theory, focusing on normalization and completeness relations.

Explains the representation of Lorentz fields and the concept of gravitons and gravitinos.

Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.

Covers matrix operations and their applications in various fields.

Covers the quantization of the Dirac field and its Hamiltonian properties.

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