An All-Orders Derivative Expansion

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1142/S0217751X97000876

We evaluate the exact $QED_{2+1}$ 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.

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