Scheme dependence of quantum gravity on de Sitter background

Understand

We extend our investigation of the IR effects on the local dynamics of matter fields in quantum gravity.

• Specifically we clarify how the IR effects depend on the change of the quantization scheme: different parametrization of the metric and the matter field redefinition.
• Conformal invariance implies effective Lorentz invariance of the matter system in de Sitter space.
• An arbitrary choice of the parametrization of the metric and the matter field redefinition does not preserve the effective Lorentz invariance of the local dynamics.