Gauge Theory

Invariant Lagrangian for certain transforms

Topics

• QED
• Covariant Derivative
• Noether’s Theory
• Gauge Transformation
• Coulomb Gauge
• Lorenz Gauge

$({\nabla }^2\vec{A}-{\mu }_0{\epsilon }_0{\partial }_t^2\vec{A})-\nabla (\nabla \cdot \vec{A}+{\mu }_0{\epsilon }_0{\partial }_{t}V)=-{\mu }_0\vec{J}$

• This along with Poisson’s Equation encapsulate Maxwell’s equations