Abstract
Some problems arise in covariant quantization of massless spin-2 tensor field in linear approximation (linear quantum gravity) in de Sitter space-time. This quantum field breaks de Sitter invariance and its two-point function has logarithmic divergence for largely separated points. This divergence contributes to the tree level scattering amplitude for scalar field in de Sitter space-time. For covariant quantization of massless minimally coupled scalar field in de Sitter space-time, which is similar to the massless spin-2 field, Krein space quantization has been successfully suggested. In this paper, we consider the two-point function for linear gravity and its divergences in Krein space procedure.
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