Lectures related to Quantum Field Theory: Advanced Topics

Quantum Field Theory: Ward Identities

Explores Ward identities in Quantum Field Theory, emphasizing classical and quantum cases, symmetry generators, and perturbation theory.

Discrete Symmetries: Introduction

Introduces discrete symmetries in Quantum Field Theory and discusses their implications in nature and interactions.

Quantization of Spin in QFT

Covers the quantization of spin in Quantum Field Theory, focusing on induced representations and unitary irreps.

Vector Fields and Lorentz Tensors: Representation Theory

Covers the transformation properties of vector fields and their representation in Lorentz tensors.

Quantum Field Theory: Noether Currents and Lorentz Symmetry

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

Discrete Symmetries Introduction

Introduces discrete symmetries, operators, and tetraquarks in quantum field theory.

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.

Renormalization: AQFT

Covers the concept of renormalization in Algebraic Quantum Field Theory.

Symmetries in Quantum Field Theory

Explores symmetries in quantum field theory, focusing on transformation rules and Casimir operators.

Quantum Field Theory: Particle Interactions

Explores the Dirac equation, Pauli-Dirac representation, particle solutions, operators, particle types, Feynman diagrams, and quantum electrodynamics.

Quantum Field Theory: Fermions and Grassmann Numbers

Explores quantum field theory, focusing on fermions and Grassmann numbers in the path integral formalism.

Quantum Field Theory: Dirac Hamiltonian

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

Discrete Symmetries Introduction

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

Broken Symmetries in Living Matter

Delves into broken symmetries in living matter, focusing on time reversal, spatiotemporal, and chiral symmetry breaking.

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.

Symmetries: C/P/T symmetries

Covers the symmetries of empty space, including Parity, Time reversal, and charge conjugation, with examples from Quantum Electrodynamics.

Quantum Field Theory: Lecture 9

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

Conformal Field Theories in AdS: Energy Spectra and Unitarity

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

Conformal Blocks: Functions on Moduli Spaces

Covers conformal blocks and their significance in complex structures and moduli spaces.

Electromagnetic Field

Covers the electromagnetic field in astrophysics and field theory, including the symmetry principle and interaction terms.