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PHYS-431: Quantum field theory I
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Lectures in this course (65)
Chirality & Helicity: Understanding QFT
Explores chirality, helicity, and spinors in Quantum Field Theory, focusing on normalization and completeness relations.
Representation of Lorentz Fields
Explains the representation of Lorentz fields and the concept of gravitons and gravitinos.
Symmetry: Noether Theorem
Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.
Linear Algebra: Matrix Operations
Covers matrix operations and their applications in various fields.
Quantum Field Theory: Dirac Hamiltonian
Covers the quantization of the Dirac field and its Hamiltonian properties.
Noether's Currents in Dirac Theory
Explores Noether's currents, symmetry transformations, mass terms, angular momentum, and Lorentz invariance in Dirac theory.
Symmetries and Conservation Laws
Explores symmetries, conservation laws, and their role in physics.
Conservation Laws and Symmetries
Explores conservation laws and symmetries in physics, focusing on Lorentz invariance and its implications on energy and momentum.
Quantum Theory: Canonical Approach
Covers the canonical approach to quantum theory, focusing on Lagrangian mechanics and equations of motion.
Quantum Theory: Canonical Approach
Explores the canonical approach to quantum theory and working in Fourier space.
Quantum Mechanics: Fundamentals
Introduces the fundamentals of quantum mechanics, covering wave functions, operators, and the uncertainty principle.
Quantum Mechanics: Vacuum Postulate and Fock Space
Explores the vacuum postulate in quantum mechanics and its relation to Fock space.
Quantum Field Theory: Normalization and Lorentz Invariance
Explores the relativistic normalization of states in quantum field theory.
Quantum Theory: Lorentz Transformation
Explores the Lorentz transformation in Quantum Theory, emphasizing Fock space representation and momentum concepts.
Unitary Operators: Translation and Transformation
Explores unitary operators for translation and transformation in quantum mechanics.
Hermitian Operators and Group Multiplication
Covers hermitian operators, group multiplication rules, and Casimir operators in quantum mechanics.
Lie Algebra: Casimirs and Poincaré
Explores Lie algebra, Casimirs, and Poincaré in SO(3) transformations.
Poincaré Irreps 2: Little Group and Induced Representation
Explores Poincaré irreducible representations, Little Group, and induced representation in the context of momentum eigenstates.
Generators of Groups
Explains the concept of generators of groups and their mathematical properties.
Spinorial Representations of Lorentz Group
Explores spinorial representations of the Lorentz group and the transformation of fields under Lorentz, emphasizing a constructive approach towards spinors.
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