Gauge Theory I
A full lecture reconstruction introducing classical Maxwell–Dirac theory from local U(1) gauge symmetry, deriving minimal coupling and continuity, and then motivating normal ordering and the nontrivial charge structure of the Dirac vacuum.
Introduction
This lecture is where the course starts to become recogni
A full lecture reconstruction on how the Dirac equation is embedded into quantum field theory through the Dirac Lagrangian, canonical momentum field, Hamiltonian, normal mode decomposition, fermionic quantization, and the resulting momentum and charge operators.
A full lecture reconstruction showing how a constant classical electric field causes electron-positron pair creation by reducing the Dirac-field evolution problem to independent Landau-Zener transitions for each momentum-spin mode pair.