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A scheme is given to compute the one-loop effective potential in a general class of curved spacetime which are homogeneous and globally static. The renormalized effective potential for scalar field theories in anti-de Sitter background is evaluated by this method. The computation based on the Sp background is disproved by demonstrating that this prescription does not respect the correct boudary condition.
Inami et al. (Mon,) studied this question.
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