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It has been shown that the negative norm states necessarily appear in acovariant quantization of the free minimally coupled scalar field in de Sitterspace [1,2]. In this process ultraviolet and infrared divergences have beenautomatically eliminated [3]. A natural renormalization of the one-loopinteracting quantum field in Minkowski space-time ($\lambda\phi^4$ theory) hasbeen achieved through the consideration of the negative norm states [4].One-loop effective action for scalar field in a general curved space-time hasbeen calculated by this method and a natural renormalization procedure in theone-loop approximation has been established.

A NATURAL RENORMALIZATION OF THE ONE-LOOP EFFECTIVE ACTION FOR SCALAR FIELD IN CURVED SPACETIME