On the Field Strength Formulation of Effective QED3

Halpern's field strength's formulation of gauge theories is applied to effective QED_3, namely, a gauge invariant theory for an Abelian gauge field $A_\mu$ with non-localities and self-interactions. The resulting description in terms of the pseudovector field $\tilde{F}_\mu = \epsilon_{\mu\nu\lambda}\partial_\nu A_\lambda$ is applied to different examples.