Lectures related to Quantum Field Theory: Heisenberg Representation and Noether Charges

Advanced Quantum Field Theory

Covers advanced topics in Quantum Field Theory, including representations of the Poincare group and the construction of unitary irreps.

General Relativity: Energy-Momentum Tensor

Covers the Schwarzschild solution, the cosmological constant, and General Relativity as an Effective Field Theory.

Conformal Field Theory: Stress Tensor & Ward Identities

Explores the invariance of quantum/statistical field theory under conformal transformations and the stress tensor properties.

Quantum Field Theory: Noether Currents and Lorentz Symmetry

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

Conservation Laws and Symmetries

Explores conservation laws and symmetries in physics, focusing on Lorentz invariance and its implications on energy and momentum.

Quantum Field Theory: Exercises on QFT1

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

Quantum Field Theory: SU(2) Symmetry and Noether's Current

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

Discrete Symmetries Introduction

Introduces the concept of discrete symmetries in Quantum Field Theory and their impact on particles and anti-particles.

Quantum Field Theory: Lecture 9

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

Gupta-Bleuler Quantization

Covers the Gupta-Bleuler quantization method in Quantum Field Theory, focusing on redundancy in the electromagnetic field and the recovery of Maxwell equations.

Quantum Field Theory: Conservation Laws

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

Conformal Field Theory & Operator Product Expansion

Explores Conformal Field Theory and Operator Product Expansion, emphasizing the role of symmetries and the quantization process in CFT.

Quantum Harmonic Oscillator: Mechanics and Applications

Explores the quantum harmonic oscillator's mechanics, energy dynamics, and applications in quantum physics.

Conformal Transformations and Stress Tensor

Explores conformal transformations, stress tensor, and correlation functions in conformal field theory.

Canonical Transformations in Analytical Mechanics

Explores canonical transformations, conservation of quantities, and differential equations in analytical mechanics.

Quantum Theory: Canonical Approach

Covers the canonical approach to quantum theory, focusing on Lagrangian mechanics and equations of motion.

Conformal Field Theories in AdS: Energy Spectra and Unitarity

Explores energy spectra in AdS, unitarity constraints, and the AdS-CFT correspondence.

Einstein Equations

Covers the derivation of Einstein equations and the Schwarzschild metric.

Canonical Transformations: Hamiltonian Equations

Explores canonical transformations, emphasizing Hamiltonian equations, constant quantities, and the importance of Lagrangian variables.

Charged Particle in Magnetic Field

Explores the behavior of charged particles in magnetic fields and the invariance of quantum probabilities.