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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'' partialF - 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.

Field-strength and dual variable formulations of gauge theory