Electromagnetic four-potential (source code)

= Electromagnetic four-potential

= Four-potential
{synonym}

The four-potential combines the <electric potential> and <magnetic vector potential> as $A^\mu=(\phi/c,\mathbf A)$. The electromagnetic four-potential $A_\mu$ transforms under
$$
A_\mu\mapsto A_\mu+\partial_\mu\chi,
$$
while the antisymmetric field tensor $F_{\mu\nu}=\partial_\mu A_\nu-\partial_\nu A_\mu$ is unchanged.