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A method is presented which allows for the renormalization of the self-potential for a scalar point charge at rest in static curved space-time. The method is suitable for the scalar field with arbitrary mass and coupling to the scalar curvature. The asymptotic behavior of self-potential is obtained in the limit in which the Compton wave-length of the massive scalar field is much smaller than the characteristic scale of curvature of the background gravitational field. The self-force is calculated in this limit.

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