Lectures related to QED: Gauge Theories

Representation Theory: Algebras and Homomorphisms

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Explores asymptotic states, S-matrix, Lippmann-Schwinger equation, and energy robustness in quantum field theory.

Simulating the Early Universe: Techniques and Challenges

Covers numerical techniques for simulating the early universe, focusing on gauge invariance and fermions.

Quantum Field Theory: Particle Interactions

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

General Fields: Lorentz Representations

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