Perturbative quantization of Einstein-Hilbert gravity embedded in a higher derivative model

In a perturbative approach Einstein-Hilbert gravity is quantized about a flat background. In order to render the model power counting renormalizable, higher order curvature terms are added to the action. They serve as Pauli-Villars type regulators and require an expansion in the number of fields in addition to the standard expansion in the number of loops. Renormalization is then performed within the Bogoliubov-Parasiuk-Hepp-Zimmermann-Lowenstein scheme, which provides the action principle to construct the Slavnov-Taylor identity and invariant differential operators. The final physical state space of the Einstein-Hilbert theory is realized via the quartet mechanism of Kugo and Ojima. Renormalization group and Callan-Symanzik's equation arc derived for Green's functions and, formally, also for the S-matrix.

Automated summary

In a perturbative approach, Einstein-Hilbert gravity is quantized around a flat background. Higher order curvature terms are added to the action to render the model power counting renormalizable. Renormalization is performed within the Bogoliubov-Parasiuk-Hepp-Zimmermann-Lowenstein scheme, providing the action principle to construct the Slavnov-Taylor identity and invariant differential operators.