Field-strength and dual variable formulations of gauge theory

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 a field-strength formulation of gauge theory. F is constrained to satisfy the Bianchi "identities" \~{}F-eA (F) \~{}F=0. Dual potentials \~{}A may also be introduced as functional Fourier conjugates to the Bianchi forms. For quantum electrodynamics in four dimensions, duality (F \~{}F, A \~{}A) is a perfect symmetry. However, residuals of the symmetry persist in all theories: E. g. , Gauss's law is an identity; \~{}A is canonical to the magnetic fields, and closely related to 't Hooft's disorder operators.