Explore an in-depth 3-hour video lecture that unravels the fundamental connection between gauge theory and electromagnetism, demonstrating how local phase symmetry gives rise to electromagnetic phenomena. Delve into advanced physics concepts including Dirac zero-momentum eigenstates, local phase symmetry, Maxwell's equations, the Faraday tensor, and quantum electrodynamics Lagrangian. Access supplementary materials including PDF notes and Python animation codes through Patreon. Navigate through comprehensive chapters covering topics from basic principles to complex derivations, including the Lorentz Force Law and local charge conservation. Reference materials include David Griffiths' "Introduction to Elementary Particles" and Andrew M. Steane's work on spinors. Designed as a video textbook, allowing flexible viewing and deep understanding of how local U(1) symmetry develops into electromagnetism.
Electromagnetism and Gauge Theory - From Local Phase Symmetry to Maxwell's Equations
Overview
Syllabus
Intro - "Why is Electromagnetism a Thing?"
Dirac Zero-Momentum Eigenstates
Local Phase Symmetry
A Curious Lagrangian
Bringing A to Life, in Six Ways
The Homogeneous Maxwell's Equations
The Faraday Tensor
F_munuF^munu
The Lagrangian of Quantum Electrodynamics
Inhomogeneous Maxwell's Equations, Part 1
... Part 2, Solving Euler-Lagrange
... Part 3, Unpacking the Inhomogeneous Maxwell's Equations
Local Charge Conservation
Deriving the Lorentz Force Law
Miscellaneous Stuff & Mysteries
Taught by
Richard Behiel
