Gauge Theory

#Physics
Invariant Lagrangian for certain transforms

Topics

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

$\displaystyle (\nabla ^{2}\vec{A}-{\mu}{0}{\varepsilon}{0}\partial_{t}^{2}\vec{A})-\nabla (\nabla \cdot \vec{A}+{\mu}{0}{\varepsilon}{0}\partial_{t}V)=-{\mu}_{0}\vec{J}$

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