On high-frequency background quantisation of gravity

This chapter examines the difficulties of the background quantization for gravitational perturbations of high freqency, and presents qualitative arguments showing that gravity possibly cannot be quantized at arbitrarily small distances. Topics considered include the limitations on covariant quantization, high-frequency quantization, and a comparison with the RosenfeldTreder arguments. It is concluded that all the results and also the difficulties (e.g. divergences) which one obtains via background quantization at distances of Planck's elementary length seem to be physically irrelevant, either because of the usual background quantization assuming implicitly low frequencies or because of the limitation for high frequencies