One-Loop Effective Potential in Anti-de Sitter Space

Abstract

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.