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In one of the assignments in a course on classical field theory I'm given the action

[itex]S = \int d^4 x \mathcal{L}[/itex]

where

[itex] \mathcal{L} = -\frac{1}{16\pi} F_{\mu \nu} F^{\mu \nu} - A_{\mu}j^{\mu}[/itex].

I'm now supposed to construct the canonical momenta [itex]\pi_\mu = \frac{\delta S}{\delta \dot{A}^{\mu}} [/itex],

but I have no idea how to. Is there any way to do this without loads and loads of algebra?

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# Canonical momenta action electromagnetism

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