# Can the physical properties of the EM field be described directly from the 4-gauge potential?

I'm trying to make an argument that classically, the EM field is considered a more 'real' physical quantity than the potentials, and am tempted to say that the fact that the field carries energy & momentum is evidence of this. Now I am wondering this: Is it possible to determine the energy or momentum of the electromagnetic field 'object' from the magnetic & vector potential in a way that isn't just directly equivalent to calculating the field first?