Unambiguous field-strength formulation and dual potentials for gauge theories

Using completely fixed axial-like gauges, I construct the unique inversion A(F) for the potential A in terms of the field strength F. A change of variable to F results in an unambiguous field-strength formulation for any gauge theory; F is constrained to satisfy the Bianchi identities $\text{?}\text{F}\text{～}\text{? eA(F)}\text{F}\text{～}\text{= 0}$. Dual potentials $\text{A}\text{～}$ may also be introduced as functional Fourier conjugate to the Bianchi forms. For quantum electrodynamics in four dimensions, duality $\text{[F ?}\text{F}\text{～}$, $\text{A ?}\text{F}\text{～}$ is a perfect symmetry. Residuals of this symmetry persist in all theories however; e.g., $\text{F}\text{～}$ is always canonically conjugate to the magnetic fields.