An All-Orders Derivative Expansion

Abstract

We evaluate the exact $QE{D}_{2+1}$ effective action for fermions in the presence of a family of static but spatially inhomogeneous magnetic field profiles. This exact result yields an all-orders derivative expansion of the effective action, and indicates that the derivative expansion is an asymptotic, rather than a convergent, expansion.

9pp LaTeX; Talk at Telluride Workshop on Low Dimensional Field Theory

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