- #1
sergiokapone
- 306
- 17
The vector potential in classical electrodynamics can be introduced due to the fact that the magnetic field is the vortex:
div \vec B = 0 → \vec B = rot \vec A
In the four-dimensional form (including gauge) Maxwell's equations look particularly beautiful:
\partial_{\mu}\partial^{\mu} A^{\nu} = j ^{\nu}
where A^{\nu} - 4-potential.
Given the existence of a monopole, the magnetic field is no longer a vortex. Then, how to change the form of Maxwell's equations in 4-dimensional form (via potentials)? Whether to reject the concept of the vector potential?
div \vec B = 0 → \vec B = rot \vec A
In the four-dimensional form (including gauge) Maxwell's equations look particularly beautiful:
\partial_{\mu}\partial^{\mu} A^{\nu} = j ^{\nu}
where A^{\nu} - 4-potential.
Given the existence of a monopole, the magnetic field is no longer a vortex. Then, how to change the form of Maxwell's equations in 4-dimensional form (via potentials)? Whether to reject the concept of the vector potential?
