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An All-Orders Derivative Expansion
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An All-Orders Derivative Expansion
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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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Cited by 1 Pith paper
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Asymptotic behaviour of the derivative expansion in the ERG
The derivative expansion of the exact renormalization group is divergent for generic operators in any dimension, but behaves as an asymptotic series that converges to high order in common applications.
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