Abstract
Our previously developed calculational method (the partial-wave cutoff method) is employed to evaluate explicitly scalar one-loop effective actions in a class of radially symmetric background gauge fields. Our method proves to be particularly effective when it is used in conjunction with a systematic WKB series for the large partial-wave contribution to the effective action. By comparing these numerically exact calculations against the predictions based on the large-mass expansion and derivative expansion, we discuss the validity ranges of the latter approximation methods.
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