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We adapt ``string-inspired'' worldline techniques to one-loop calculations onorbifolds, in particular on the $S^1/Z_2$ orbifold. Our method also allows forthe treatment of brane-localized terms, or bulk-brane couplings. Fordemonstration, we reproduce the well-known result for the one-loop inducedFayet-Iliopoulos term in rigidly supersymmetric Abelian gauge theory, andgeneralize it to the case where soft supersymmetry breaking mass terms for thebulk scalar fields are present on the branes.Comment: Typos corrected, clarifying remarks adde

Worldlines on orbifolds and the Fayet-Iliopoulos term