Abstract
With an approach based on the heat-kernel representation, we show how to construct the expansion of the one-loop effective action in powers of covariant derivatives D/sub ..mu../ whenever it can be expressed in terms of an operator determinant of the form det(-D/sup 2/+V), where V is some positive Hermitian matrix-valued function. We present general expressions for the contributions to the effective Lagrangian in two and four covariant derivatives for four Euclidean space-time dimensions.
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