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A Natural Renormalization of the One-Loop Effective Action for Scalar Field in Curved Space-time

Mohammad Vahid Takook
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Abstract

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

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Mohammad Vahid Takook. 2005-05-09. A Natural Renormalization of the One-Loop Effective Action for Scalar Field in Curved Space-time. https://arxiv.org/abs/gr-qc/0006052

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