Spectrum of primary gravitational waves in the quantum version of conformal general relativity

The spectral power of primordial gravitational waves is calculated in the quantum version of conformal general relativity. The fundamental variables of quantum gravity in the used approach are special variables, which constitute the dynamic part of the spin connection, rather than components of the metric tensor. It has been shown that the proposed model in the Born approximation reproduces the standard spectral power of primordial gravitational waves generated in the canonical inflation process. This has made it possible to test the quantum version of the conformal theory of gravity in a specific phenomenological problem.