A Natural Renormalization of the One-Loop Effective Action for Scalar Field in Curved Space-time
Abstract
Description
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.
5 pages, LaTeX; typos corrected, some details added, reference added
5 pages, LaTeX; typos corrected, some details added, reference added